Question

Factor:$30y-60$

Short answer

The required factor is$30\left(y-2\right)$.

Step-by-step solution

Step 1. Given information.

The given polynomial is:

$30y-60$

Step 2. Find the GCF. 

Find the GCF of $30y\mathrm{and}60$,

$$\begin{gathered} 30y=2·3·5·y \\ 60=2·2·3·5 \end{gathered}$$

GCF is:

$$\begin{gathered} =2·3·5 \\ =30 \end{gathered}$$

Step 3. Find the factor.

Rewrite each term as a product using the GCF,

$30·y-30·2$

Factor the GCF,

$30\left(y-2\right)$