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GCF of 8 and 32

What is the GCF of 8 and 32? - The GCF of 8 and 32 is 8. Follow the step by step instructions on how to find the great common factor of 8 and 32.

Greatest Common Factor of 8 and 32

Number 1:
Number 2:

What is the greatest common factor of 8 and 32?

Answer: 8

How to find the gcf of 8 and 32?

Method 1 - Listing Factors

To find the gcf of 8 and 32, we first need to find the factors of 8 and 32 and then choose the greatest common factor that are dividable by both 8 and 32.

Factors of 8 = 1, 2, 4, 8
Factors of 32 = 1, 2, 4, 8, 16, 32

The greatest common factor of 8 and 32 is 8, because 8 is the largest number that is divisible by both numbers.





Method 2 - Prime Factorization

Another method to find the greatest common factor of 8 and 32 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 8 and 32, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 8 = 2 x 2 x 2
Prime factorization of 32 = 2 x 2 x 2 x 2 x 2
Common prime factors = 2 x 2 x 2 = 8

GCF of 7 and 32
GCF of 9 and 32
GCF of 8 and 33
GCF of 8 and 31

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