Question

2. Determine all the common factors and two
common multiples of 12 and 56. Show
your work.

Answer 1

Alternatively, the gcf of 12 and 56 can be found using the prime factorization of 12 and 56:

The prime factorization of 12 is: 2 x 2 x 3.

The prime factorization of 56 is: 2 x 2 x 2 x 7.

The prime factors and multiplicities 12 and 56 have in common are: 2 x 2.

2 x 2 is the gcf of 12 and 56.

gcf(12,56) = 4.