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32

16,2

8,2,2

4,2,2,2

2,2,2,2,2

40

20,2

10,2,2

5,2,2,2

2 x 2 x 2 = 8, the GCF

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Q: What are the greatest common factors of 32 and 40 using a factor tree?
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What does cancel any common factors in fractions?

Simplification using the greatest common factor does.Simplification using the greatest common factor does.Simplification using the greatest common factor does.Simplification using the greatest common factor does.


What is the greatest common factor of 10 and 20 using prime factors?

The greatest common prime factor of 10 and 20 is 5.


Greatest common factor of 10and25 using prime factors?

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What are the common factors for 12 and 25?

In general, all common factors of two (or more) numbers are factors of its GREATEST common factor. Thus, you need to start by using the methods you were taught, to find the greatest common factor.


What are common factors of 35 and 48?

First find the greatest common factors. All common factors are also factors of the greatest common factor.The greatest common factor of 48 and 35 is the same as the greatest common factor of 35 and 13 - where 13 is the remainder of the division of 48 by 35 (using Euclid's algorithm).


Why do you need the common prime factors when finding the greatest common factor?

You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.


How do you find the greatest common factor of 45 using prime factorization?

You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factors of 45 are 3, 3, and 5. The prime factors of 60 are 2, 2, 3, and 5. The common prime factors are 3 and 5, so the greatest common factor is 3 x 5 = 15.


What is the greatest common factor 28 and 75 using prime factorization?

prime factors of 28 are: 2, 2, 7.prime factors of 75 are: 3, 5, 5.As 28 and 75 have no common prime factors, their greatest common factor is 1.


What is the greatest common factor of 48 using the factor tree?

The factors of 48 are 1,2,3,4,6,8,12,16,24 and 48. You need another set of factors to compare them with to find a GCF.


What is the greatest common factor of 32 and 51 using prime factors?

The greatest common factor can be calculated by identifying the common prime factors and multiplying them together. The prime factors of 32 are 2, 2, 2, 2, and 2. The prime factors of 51 are 3 and 17. There are no prime factors in common, so the numbers are relatively prime, which means the greatest common factor is 1. Another way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 32 are 1, 2, 4, 8, 16, and 32. The factors of 51 are 1, 3, 17, and 51. The only common factor is 1. Therefore, the numbers are relatively prime and the greatest common factor is 1. You can also determine the greatest common factor by looking at the difference between the two numbers, which is 19. The greatest common factor of two numbers cannot be larger than the difference between the two numbers and must be a factor of the difference between the numbers. Since 19 is a prime number, the only factors it has are 1 and 19. Since 32 and 51 are not divisible by 19, the greatest common factor is 1.


What is the greatest common factor of 10000?

There is not a greatest common factor of a single number, such as 10,000, 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 10,000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, and 10000. The prime factors of 10,000 are 2, 2, 2, 2, 5, 5, 5, and 5 or listed using exponents 24 and 54. Examples: The greatest common factor of 64 and 10,000 is 16. The greatest common factor of 750 and 10,000 is 250. The greatest common factor of 100, 4000, and 10,000 is 100.


How do you find the greatest common factor of numbers using list of factors?

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30 The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42 The common factors are: 1, 2, 3, 6 The Greatest Common Factor: GCF = 6