GCF of 48 and 84

What is the GCF of 48 and 84? - The GCF of 48 and 84 is 12. Follow the step by step instructions on how to find the great common factor of 48 and 84.

What is the greatest common factor of 48 and 84?

How to find the gcf of 48 and 84?

To find the gcf of 48 and 84, we first need to find the factors of 48 and 84 and then choose the greatest common factor that are dividable by both 48 and 84.

Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The greatest common factor of 48 and 84 is 12, because 12 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 48 and 84 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 48 and 84, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 48 = 2 x 2 x 2 x 2 x 3
Prime factorization of 84 = 2 x 2 x 3 x 7
Common prime factors = 2 x 2 x 3 = 12