GCF of 36 and 132

What is the GCF of 36 and 132? - The GCF of 36 and 132 is 12. Follow the step by step instructions on how to find the great common factor of 36 and 132.

What is the greatest common factor of 36 and 132?

How to find the gcf of 36 and 132?

To find the gcf of 36 and 132, we first need to find the factors of 36 and 132 and then choose the greatest common factor that are dividable by both 36 and 132.

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 132 = 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

The greatest common factor of 36 and 132 is 12, because 12 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 36 and 132 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 36 and 132, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 36 = 2 x 2 x 3 x 3
Prime factorization of 132 = 2 x 2 x 3 x 11
Common prime factors = 2 x 2 x 3 = 12