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196: 2-2-2-2-11

1078: 2-7-7-11

Greatest common factor: 22

Method(s) used:

# The method to find the greatest common factor of numbers is to find the prime factorizations of each one, select all matching prime factors, and then multiply. # An alternative method is to find all of the factors of each, and then select the greatest number that appears in each list. # The final method only applies to some numbers; if one of the number is a factor of the other, then that number is the greatest common factor. This is because all numbers are factors of themselves, and that is their greatest factor. If it is also a factor of the other number, then it is definitely the greatest common factor.

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Q: What is the greatest common factor of 196 and 1078?
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The greatest common factor of 196 and 112 is 28.


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The GCF of 84 and 196 is 28.


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What is the greatest common factor of 196?

There is neither a greatest common factor nor common factors of a single number, such as 196 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 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196. The prime factors of 196 are 2, 2, 7, and 7. Examples: The common factors of 32 and 196 are 1, 2, and 4; the greatest common factor is 4. The common factors of 50 and 196 are 1 and 2; the greatest common factor is 2. The common factors of 56 and 196 are 1, 2, 4, 7, 14, and 28; the greatest common factor is 28.


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