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Which of the following is the greatest common factor of the terms 36a^5b^3, 28a^2b, 20a^3b^6A. 4a^5b^6B. 1260a^5b^6C. 4a^2bD. 9a^3b^2+7+5ab^5

Which of the following is the greatest common factor of the terms 36a^5b^3, 28a^2b-example-1

1 Answer

4 votes

Answer:

The greatest common factor is;


4a^2b

Step-by-step explanation:

Given the expressions in the attached image;


36a^5b^3,28a^2b,20a^3b^6

Let us expand the expressions to get the GCF;


\begin{gathered} 36a^5b^3=2*2*3*3* a* a* a* a* a* b* b* b \\ 28a^2b=2*2*7* a* a* b \\ 20a^3b^6=2*2*5* a* a* a* b* b* b* b* b* b \end{gathered}

The GCF will be the common factors;


\begin{gathered} \text{GCF}=2*2* a* a* b \\ \text{GCF}=4a^2b \end{gathered}

Therefore, the greatest common factor is;


4a^2b

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