GCF of 96 and 108

What is the GCF of 96 and 108? - The GCF of 96 and 108 is 12. Follow the step by step instructions on how to find the great common factor of 96 and 108.

What is the greatest common factor of 96 and 108?

How to find the gcf of 96 and 108?

To find the gcf of 96 and 108, we first need to find the factors of 96 and 108 and then choose the greatest common factor that are dividable by both 96 and 108.

Factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors of 108 = 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The greatest common factor of 96 and 108 is 12, because 12 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 96 and 108 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 96 and 108, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 96 = 2 x 2 x 2 x 2 x 2 x 3
Prime factorization of 108 = 2 x 2 x 3 x 3 x 3
Common prime factors = 2 x 2 x 3 = 12