SBP-Program

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Find the greatest common factor of 12 and 15

How to find the greatest common factor of 12 and 15?

Find the gcf of 12 and 15

Problem. Find the greatest common factor of 12 and 15.

Solution.

The prime factorization of 12

12 = 2 * 2 * 3

See 12 prime factorization.

The prime factorization of 15

15 = 3 * 5

See 15 prime factorization.

Find the common prime factors of these two numbers 12 and 15

12 –> (2, 2, 3)
15 –> (3, 5)

The common factors of 12 and 15 are

3

The gcf of 12 and 15

gcf(12, 15) = 3

The problem is solved.