# How do you factor 8a +12?

Apr 15, 2017

$4 \left(2 a + 3\right)$

#### Explanation:

Find the GCF

In this case, $a$ is not common because it is being multiplied only with $8$.

Factors of $8$

$1 , 2 , 4 , 8$

Factors of $12$

$1 , 2 , 3 , 4 , 6 , 12$

Common factors of $8$ and $12$

$\left(1 , 2 , 4\right)$

Greatest Common Factor (GCF) of $8$ and $12$

$4$

So for $8 a + 12$, the GCF is $4$

$\Rightarrow 4 \left(2 a + 3\right)$