# How do you write the sum of the number 30+54 as the product of their GCF and another sum?

Nov 1, 2016

Let's first get the GCF. by factorizing both numbers,

#### Explanation:

$30 = 2 \times 3 \times 5$
$54 = 2 \times 3 \times 3 \times 3$
$G C F = 2 \times 3 = 6$

Now we can write:
$30 + 54 = 6 \times 5 + 6 \times \left(3 \times 3\right) = 6 \times 5 + 6 \times 9$
$= 6 \times \left(5 + 9\right)$