GCF of 308 and 715

What is the GCF of 308 and 715? - The GCF of 308 and 715 is 11. Follow the step by step instructions on how to find the great common factor of 308 and 715.

What is the greatest common factor of 308 and 715?

How to find the gcf of 308 and 715?

To find the gcf of 308 and 715, we first need to find the factors of 308 and 715 and then choose the greatest common factor that are dividable by both 308 and 715.

Factors of 308 = 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Factors of 715 = 1, 5, 11, 13, 55, 65, 143, 715

The greatest common factor of 308 and 715 is 11, because 11 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 308 and 715 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 308 and 715, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 308 = 2 x 2 x 7 x 11
Prime factorization of 715 = 5 x 11 x 13
Common prime factors = 11 = 11