GCF of 54 and 96

What is the GCF of 54 and 96? - The GCF of 54 and 96 is 6. Follow the step by step instructions on how to find the great common factor of 54 and 96.

What is the greatest common factor of 54 and 96?

How to find the gcf of 54 and 96?

To find the gcf of 54 and 96, we first need to find the factors of 54 and 96 and then choose the greatest common factor that are dividable by both 54 and 96.

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

The greatest common factor of 54 and 96 is 6, because 6 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 54 and 96 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 54 and 96, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 54 = 2 x 3 x 3 x 3
Prime factorization of 96 = 2 x 2 x 2 x 2 x 2 x 3
Common prime factors = 2 x 3 = 6