GCF of 72 and 90

What is the GCF of 72 and 90? - The GCF of 72 and 90 is 18. Follow the step by step instructions on how to find the great common factor of 72 and 90.

What is the greatest common factor of 72 and 90?

How to find the gcf of 72 and 90?

To find the gcf of 72 and 90, we first need to find the factors of 72 and 90 and then choose the greatest common factor that are dividable by both 72 and 90.

Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The greatest common factor of 72 and 90 is 18, because 18 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 72 and 90 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 72 and 90, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 72 = 2 x 2 x 2 x 3 x 3
Prime factorization of 90 = 2 x 3 x 3 x 5
Common prime factors = 2 x 3 x 3 = 18