Question

Factor the expression using the GCF.

$21m-49n$

Answer 1

Step 1: We have given expression is ($21m-49n$)
We will find the factors of $\left(21m\right),\left(49n\right)$

$$\begin{gathered} 21m=7\times 3\times m \\ 49n=7\times 7\times n \end{gathered}$$

We can see that G.C.F of $\left(21m\right),\left(49n\right)$
Now we will use the GCF to factor the expression

$$\begin{gathered} 21m-49n=7\left(3m\right)-7\left(7n\right)\{Rewritetheexpression\} \\ =7(3m-7n)\{Distributiveproperty\} \end{gathered}$$

Final Answer: $7(3m-7n)$