# How do you write the sum of the number 48+14 as the product of their GCF and another sum?

Oct 24, 2016

$48 + 14 = 2 \times 31$

#### Explanation:

$48 = \textcolor{red}{2} \times 2 \times 2 \times 2 \times 3$
$14 = \textcolor{red}{2} \times 7$

$\implies \text{GCF} \left(14 , 48\right) = 2$

$48 + 14 = \left(2 \times 24\right) + \left(2 \times 7\right)$

$= 2 \times \left(24 + 7\right)$

$= 2 \times 31$