Question

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

Answer 1

The greatest common factor GCF is;

`8ab`

Step-by-step 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*2*2*5* a* a* b \\ 48ab^2=2*2*2*2*3* a* b* b \\ \end{gathered}`

then we will write out the greatest common factor;

`\begin{gathered} \text{GCF}=2*2*2* a* b=8ab \\ \text{GCF}=8ab \end{gathered}`

Therefore, the greatest common factor GCF is;

`8ab`