GCF of 310 and 30

What is the GCF of 310 and 30? - The GCF of 310 and 30 is 10. Follow the step by step instructions on how to find the great common factor of 310 and 30.

What is the greatest common factor of 310 and 30?

How to find the gcf of 310 and 30?

To find the gcf of 310 and 30, we first need to find the factors of 310 and 30 and then choose the greatest common factor that are dividable by both 310 and 30.

Factors of 310 = 1, 2, 5, 10, 31, 62, 155, 310
Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30

The greatest common factor of 310 and 30 is 10, because 10 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 310 and 30 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 310 and 30, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 310 = 2 x 5 x 31
Prime factorization of 30 = 2 x 3 x 5
Common prime factors = 2 x 5 = 10