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