GCF of 585 and 221

What is the GCF of 585 and 221? - The GCF of 585 and 221 is 13. Follow the step by step instructions on how to find the great common factor of 585 and 221.

What is the greatest common factor of 585 and 221?

How to find the gcf of 585 and 221?

To find the gcf of 585 and 221, we first need to find the factors of 585 and 221 and then choose the greatest common factor that are dividable by both 585 and 221.

Factors of 585 = 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Factors of 221 = 1, 13, 17, 221

The greatest common factor of 585 and 221 is 13, because 13 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 585 and 221 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 585 and 221, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 585 = 3 x 3 x 5 x 13
Prime factorization of 221 = 13 x 17
Common prime factors = 13 = 13