Question

Factor the expression using the GCF.

$20z-8$

Answer 1

Step 1: We have given expression is $20z-8$
Now we will find the factors of (20z), 8 $\left(20z\right),\left(8\right)$

$$\begin{gathered} 20z=5\times 2\times 2\times z \\ 8=2\times 2\times 2 \end{gathered}$$

We can see that G.C.F of $\left(20z\right),\left(8\right)$ is $4$
Now we will use the GCF to factor the expression

$$\begin{gathered} 20z-8=4\left(5z\right)-4\left(2\right)\{Rewritetheexpression\} \\ =4(5z-2)\{Distributiveproperty\} \end{gathered}$$

Final Answer: $4(5z-2)$