GCF of 63 and 168

What is the GCF of 63 and 168? - The GCF of 63 and 168 is 21. Follow the step by step instructions on how to find the great common factor of 63 and 168.

What is the greatest common factor of 63 and 168?

How to find the gcf of 63 and 168?

To find the gcf of 63 and 168, we first need to find the factors of 63 and 168 and then choose the greatest common factor that are dividable by both 63 and 168.

Factors of 63 = 1, 3, 7, 9, 21, 63
Factors of 168 = 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

The greatest common factor of 63 and 168 is 21, because 21 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 63 and 168 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 63 and 168, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 63 = 3 x 3 x 7
Prime factorization of 168 = 2 x 2 x 2 x 3 x 7
Common prime factors = 3 x 7 = 21