GCF of 80 and 120

What is the GCF of 80 and 120? - The GCF of 80 and 120 is 40. Follow the step by step instructions on how to find the great common factor of 80 and 120.

What is the greatest common factor of 80 and 120?

How to find the gcf of 80 and 120?

To find the gcf of 80 and 120, we first need to find the factors of 80 and 120 and then choose the greatest common factor that are dividable by both 80 and 120.

Factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Factors of 120 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The greatest common factor of 80 and 120 is 40, because 40 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 80 and 120 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 80 and 120, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 80 = 2 x 2 x 2 x 2 x 5
Prime factorization of 120 = 2 x 2 x 2 x 3 x 5
Common prime factors = 2 x 2 x 2 x 5 = 40