Question

What is 40+56 in GCF

Answer 1

The GCF stands for greatest common factor. To represent a sum by its GCF we need to use the distributive property and we need to first find the GCF of the numbers. Let's break each number by its factors:

$\begin{gathered} 40=2\cdot2\cdot2\cdot5 \\ 56=2\cdot2\cdot2\cdot7 \end{gathered}$

We now multiply the numbers that appear on both.

$\text{GCF}=2\cdot2\cdot2=8$

We now apply the distributive property:

$8\cdot(5+7)$