Question

Factor the expression using GCF.

$2b+8$

Answer 1

Step 1: Given expression is $2b+8$

We will now find the G.C.F of $\left(2b\right),\left(8\right)$ is

$$\begin{gathered} 2b=2\times b \\ 8=2\times 2\times 2 \end{gathered}$$

The common prime factors is $2$

so the G.C.F of $\left(2b\right),\left(8\right)$ is $2$

Using the GCF to factor the expression

$$\begin{gathered} 2b+8=2\left(b\right)+2\left(4\right)\{Rewritetheexpression\} \\ =2(b+4)\{Distributiveproperty\} \end{gathered}$$

Final Answer: $2(b+4)$