GCF of 325 and 546

What is the GCF of 325 and 546? - The GCF of 325 and 546 is 13. Follow the step by step instructions on how to find the great common factor of 325 and 546.

What is the greatest common factor of 325 and 546?

How to find the gcf of 325 and 546?

To find the gcf of 325 and 546, we first need to find the factors of 325 and 546 and then choose the greatest common factor that are dividable by both 325 and 546.

Factors of 325 = 1, 5, 13, 25, 65, 325
Factors of 546 = 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

The greatest common factor of 325 and 546 is 13, because 13 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 325 and 546 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 325 and 546, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 325 = 5 x 5 x 13
Prime factorization of 546 = 2 x 3 x 7 x 13
Common prime factors = 13 = 13