# How do you find the greatest common factor of 8 and 24?

Dec 4, 2016

The GCF is 8.

#### Explanation:

Findthe greatest common factor (GCF) of 8 and 24.

The factors of 8 are 1, 2, 4, and 8.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

The largest factor that is in both these lists is 8. The GCF is 8.

Alternatively, find the prime factorization of 8 and 24.

$8 = 2 \times 4 = 2 \times 2 \times 2 = {2}^{3}$

$24 = 2 \times 12 = 2 \times 2 \times 6 = 2 \times 2 \times 2 \times 3 = {2}^{3} \times 3$

The factors common to both 8 and 24 are ${2}^{3} = 8$