# How do you find the GCF of 6, 8?

Jan 18, 2017

$G C F \left(6 , 8\right) = 2$

#### Explanation:

$\text{Prime factors of } \left(6\right) = 2 \times 3$
$\text{Prime factors of } \left(8\right) = 2 \times 2 \times 2$

$G C F \left(6 , 8\right) = G C F \left(2 \times 3 , 2 \times 2 \times 2\right)$

$\textcolor{w h i t e}{\text{XXXXXX}} = 2 \times G C F \left(\cancel{2} \times 3 , \cancel{2} \times 2 \times 2\right)$

$\textcolor{w h i t e}{\text{XXXXXX}} = 2 \times G C F \left(3 , 2 \times 2\right)$

$\textcolor{w h i t e}{\text{XXXXXX}} = 2 \times 1 = 2$