GCF of 16 and 36

What is the GCF of 16 and 36? - The GCF of 16 and 36 is 4. Follow the step by step instructions on how to find the great common factor of 16 and 36.

What is the greatest common factor of 16 and 36?

How to find the gcf of 16 and 36?

To find the gcf of 16 and 36, we first need to find the factors of 16 and 36 and then choose the greatest common factor that are dividable by both 16 and 36.

Factors of 16 = 1, 2, 4, 8, 16
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

The greatest common factor of 16 and 36 is 4, because 4 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 16 and 36 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 16 and 36, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 16 = 2 x 2 x 2 x 2
Prime factorization of 36 = 2 x 2 x 3 x 3
Common prime factors = 2 x 2 = 4