GCF of 42 and 600

What is the GCF of 42 and 600? - The GCF of 42 and 600 is 6. Follow the step by step instructions on how to find the great common factor of 42 and 600.

What is the greatest common factor of 42 and 600?

How to find the gcf of 42 and 600?

To find the gcf of 42 and 600, we first need to find the factors of 42 and 600 and then choose the greatest common factor that are dividable by both 42 and 600.

Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42
Factors of 600 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

The greatest common factor of 42 and 600 is 6, because 6 is the largest number that is divisible by both numbers.

Another method to find the greatest common factor of 42 and 600 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 42 and 600, and then get the GCF by multiplying all the common prime factors from the two sets.

Prime factorization of 42 = 2 x 3 x 7
Prime factorization of 600 = 2 x 2 x 2 x 3 x 5 x 5
Common prime factors = 2 x 3 = 6