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Online Calculators > Math Calculators
GCF of 12 and 27
What is the GCF of 12 and 27? - The GCF of 12 and 27 is 3.
Follow the step by step instructions on how to find the great common factor of 12 and 27.
What is the greatest common factor of 12 and 27?
How to find the gcf of 12 and 27?
Method 1 - Listing Factors
To find the gcf of 12 and 27, we first need to find the factors of 12 and 27 and then choose the greatest common factor that are dividable by both 12 and 27.
Factors of 12 = 1, 2, 3, 4, 6, 12
Factors of 27 = 1, 3, 9, 27
The greatest common factor of 12 and 27 is 3, because 3 is the largest number that is divisible by both numbers.
Method 2 - Prime Factorization
Another method to find the greatest common factor of 12 and 27 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 12 and 27, and then get the GCF by multiplying all the common prime factors from the two sets.
Prime factorization of 12 = 2 x 2 x 3
Prime factorization of 27 = 3 x 3 x 3
Common prime factors = 3 = 3
GCF of 11 and 27
GCF of 13 and 27
GCF of 12 and 28
GCF of 12 and 26
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