Factoring and Multiples

# How does ordering factors from least to greatest help you find the greatest common factor?

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###### 2012-03-31 03:42:07

The same way that sorting playing cards in your hand helps you to know what you have. I suppose you could list them from greatest to least if you wanted to. It's just a way to keep track of them.

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## Related Questions

1,2,5,10 are the common factors, and the Greatest Common Factor is 10.

24 is not the greatest common factor of any single number. Common factors are the factors that two or more numbers have in common. The greatest common factor is the largest factor that two or more numbers have in common. There cannot be any common factors or a greatest common factor of a single number. There must be at least two number for common factors and a greatest common factor. Example: The greatest common factor of 24 and 48 is 24. The greatest common factor of 60 and 144 is 24. The greatest common factor of 240 and 264 is 24.

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 35, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 10 and 35 are 1 and 5; the greatest common factor is 5. The common factors of 21 and 35 are 1 and 7; the greatest common factor is 7. The common factors of 35 and 45 are 1 and 5; the greatest common factor is 5. The common factors of 35 and 49 are 1 and 7; the greatest common factor is 7. The common factors of 35 and 61 are only 1; the greatest common factor is 1.

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 34, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 12 and 34 are 1 and 2; the greatest common factor is 2. The common factors of 34 and 40 are 1 and 2; the greatest common factor is 2. The common factors of 34 and 85 are 1 and 17; the greatest common factor is 17. The common factors of 34 and 91 are only 1; the greatest common factor is 1.

The common factors are: 1, 3 The Greatest Common Factor (GCF) is: 3

The common factors are: 1, 3 The Greatest Common Factor (GCF) is: 3

There is neither a greatest common factor nor common factors of a single number, such as 25, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.The factors of 25 are 1, 5, and 25.Examples:The common factors of 13 and 25 are only 1; the greatest common factor is 1.The common factors of 23 and 25 are only 1; the greatest common factor is 1.The common factors of 25 and 30 are 1 and 5; the greatest common factor is 5.The common factors of 25 and 42 are only 1; the greatest common factor is 1.The common factors of 25 and 50 are 1, 5, and 25; the greatest common factor is 25.

There is neither a greatest common factor nor common factors of a single number, such as 25, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. The factors of 25 are 1, 5, and 25. The prime factors of 25 are 5 and 5. Examples: The common factors of 13 and 25 are only 1; the greatest common factor is 1. The common factors of 23 and 25 are only 1; the greatest common factor is 1. The common factors of 25 and 30 are 1 and 5; the greatest common factor is 5. The common factors of 25 and 42 are only 1; the greatest common factor is 1. The common factors of 25 and 50 are 1, 5, and 25; the greatest common factor is 25.

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as ??, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 1 and 3 are only 1; the greatest common factor is 1. The common factors of 1 and 111 are only 1; the greatest common factor is 1. Note: Since the only factor of 1 is 1, when finding the greatest common factor of 1 and another number, the only possible common factor and greatest common factor is 1.

There is neither a greatest common factor nor common factors of a single number, such as 47, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 47 and 50 are only 1; the greatest common factor is 1. The common factors of 47 and 94 are 1 and 47; the greatest common factor is 47.

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 38, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 38 and 40 are 1 and 2; the greatest common factor is 2. The common factors of 38 and 95 are 1 and 19; the greatest common factor is 19. The common factors of 38 and 101 are only 1; the greatest common factor is 1.

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as ??, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 44 and 121 are 1 and 11; the greatest common factor is 11. The common factors of 69 and 121 are only 1; the greatest common factor is 1. The common factors of 121 and 363 are 1, 11, and 121; the greatest common factor is 121.

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 614, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 12 and 614 are 1 and 2; the greatest common factor is 2. The common factors of 19 and 614 are only 1; the greatest common factor is 1. The common factors of 614 and 921 are 1 and 307; the greatest common factor is 307.

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 27, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 27 and 33 are 1 and 3; the greatest common factor is 3. The common factors of 27 and 45 are 1, 3, and 9; the greatest common factor is 9. The common factors of 27 and 29 are only 1; the greatest common factor is 1.

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 432, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 8 and 432 are 1, 2, 4, and 8; the greatest common factor is 8. The common factors of 19 and 432 are 1; the greatest common factor is 1. The common factors of 100 and 432 are 1, 2, and 4; the greatest common factor is 4.

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 480, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 13 and 480 are only 1; the greatest common factor is 1. The common factors of 81 and 480 are 1 and 3; the greatest common factor is 3. The common factors of 158 and 480 are 1 and 2; the greatest common factor is 2. The common factors of 380 and 480 are 1, 2, 4, 5, 10, and 20; the greatest common factor is 20. The common factors of 480 and 492 are 1, 2, 3, 4, 6, and 12; the greatest common factor is 12.

factors of 6 are 1,2,3,6 Factors of 8 are 1,2,4,8 The Greatest common factor is 2

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as ??, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. The factors of 44 are 1, 2, 4, 11, 22, and 44. Examples: The common factors of 11 and 44 are 1 and 11; the greatest common factor is 11. The common factors of 18 and 44 are 1 and 2; the greatest common factor is 2. The common factors of 44 and 55 are 1 and 11; the greatest common factor is 11. The common factors of 44 and 66 are 1, 2, 11, and 22; the greatest common factor is 22. The common factors of 44 and 132 are 1, 2, 4, 11, 22, and 44; the greatest common factor is 44. The common factors of 44 and 136 are 1, 2, and 4; the greatest common factor is 4.

Short answer: There are none.There is neither a greatest common factor nor common factors of a single number, such as 23, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.Examples:The common factors of 23 and 25 are only 1; the greatest common factor is 1.The common factors of 23 and 69 are 1 and 23; the greatest common factor is 23.The common factors of 23 and 75 are only 1; the greatest common factor is 1.The factors of 23 are 1 and 23. For them to be common, they need to be compared to another set of factors.

Short answer: There are none. There is neither a greatest common factor nor common factors of a single number, such as 27, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. Examples: The common factors of 27 and 29 are only 1; the greatest common factor is 1. The common factors of 27 and 33 are 1 and 3; the greatest common factor is 3. The common factors of 27 and 45 are 1, 3, and 9; the greatest common factor is 9. The common factors of 27 and 81 are 1, 3, 9, and 27; the greatest common factor is 27.

Factors of 15: 1,3,5,15 Factors of 77: 1,7,11,77 Greatest common factor: 1

There is not a greatest common factor of a single number, such as 74, because there cannot be a greatest common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor.The factors of 74 are 1, 2, 37, and 74.Examples:The common factors of 16 and 74 are 1 and 2; the greatest common factor is 2.The common factors of 29 and 74 are only 1; the greatest common factor is 1.The common factors of 74 and 111 are 1 and 37; the greatest common factor is 37.

There is neither a greatest common factor nor common factors of a single number, such as 6 because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. The factors of 6 are 1, 2, 3, and 6. The prime factors of 6 are 2 and 3. Examples: The common factors of 4 and 6 are 1 and 2; the greatest common factor is 2. The common factors of 6 and 9 are 1 and 3; the greatest common factor is 3. The common factors of 6 and 13 are a single 1; the greatest common factor is 1. The common factors of 6 and 24 are 1, 2, 3, and 6; the greatest common factor is 6. The common factors of 6, 120, and 216 are 1, 2, 3, and 6; the greatest common factor is 6.

There is neither a greatest common factor nor common factors of a single number, such as 3, because there cannot be any form of common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common. Thus, since there are not two or more numbers to compare, there are neither common factors nor a greatest common factor. The factors of 3 are 1 and 3. The prime factor of 3 is 3. Examples: The common factors of 3 and 20 are only 1; the greatest common factor is 1. The common factors of 3 and 81 are 1 and 3; the greatest common factor is 3.

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