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

What is the greatest common factor of 40a^2b and 48ab^2?-example-1

1 Answer

5 votes

Answer:

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
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