Online Calculators > Math Calculators
GCF of 60 and 72
What is the GCF of 60 and 72? - The GCF of 60 and 72 is 12.
Follow the step by step instructions on how to find the great common factor of 60 and 72.
What is the greatest common factor of 60 and 72?
How to find the gcf of 60 and 72?
Method 1 - Listing Factors
To find the gcf of 60 and 72, we first need to find the factors of 60 and 72 and then choose the greatest common factor that are dividable by both 60 and 72.
Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The greatest common factor of 60 and 72 is 12, because 12 is the largest number that is divisible by both numbers.
Method 2 - Prime Factorization
Another method to find the greatest common factor of 60 and 72 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 60 and 72, and then get the GCF by multiplying all the common prime factors from the two sets.
Prime factorization of 60 = 2 x 2 x 3 x 5
Prime factorization of 72 = 2 x 2 x 2 x 3 x 3
Common prime factors = 2 x 2 x 3 = 12
GCF of 59 and 72
GCF of 61 and 72
GCF of 60 and 73
GCF of 60 and 71
|