GCF of 12 and 56

What is the GCF of 12 and 56? - The GCF of 12 and 56 is 4. Follow the step by step instructions on how to find the great common factor of 12 and 56.

What is the greatest common factor of 12 and 56?

How to find the gcf of 12 and 56?

To find the gcf of 12 and 56, we first need to find the factors of 12 and 56 and then choose the greatest common factor that are dividable by both 12 and 56.

Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56

The greatest common factor of 12 and 56 is 4, because 4 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 12 and 56 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 12 and 56, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 12 = 2 x 2 x 3
Prime factorization of 56 = 2 x 2 x 2 x 7
Common prime factors = 2 x 2 = 4