GCF of 440 and 728

What is the GCF of 440 and 728? - The GCF of 440 and 728 is 8. Follow the step by step instructions on how to find the great common factor of 440 and 728.

What is the greatest common factor of 440 and 728?

How to find the gcf of 440 and 728?

To find the gcf of 440 and 728, we first need to find the factors of 440 and 728 and then choose the greatest common factor that are dividable by both 440 and 728.

Factors of 440 = 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Factors of 728 = 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

The greatest common factor of 440 and 728 is 8, because 8 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 440 and 728 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 440 and 728, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 440 = 2 x 2 x 2 x 5 x 11
Prime factorization of 728 = 2 x 2 x 2 x 7 x 13
Common prime factors = 2 x 2 x 2 = 8