Question

What is the greatest common factor of 40a^2b and 48ab^2?

Answer 1

Answer:

The greatest common factor GCF is;

$8ab$

Explanation:

Given the terms;

$\begin{gathered} 40a^2b \\ \text{and} \\ 48ab^2 \end{gathered}$

Let us expand each of the terms;

$\begin{gathered} 40a^2b=2\times2\times2\times5\times a\times a\times b \\ 48ab^2=2\times2\times2\times2\times3\times a\times b\times b \\ \end{gathered}$

then we will write out the greatest common factor;

$\begin{gathered} \text{GCF}=2\times2\times2\times a\times b=8ab \\ \text{GCF}=8ab \end{gathered}$

Therefore, the greatest common factor GCF is;

$8ab$