Question

What is the greatest common factor of 20a^2b^2 and 50b^3?

Answer 1

The greatest common factor is;

`10b^2`

Step-by-step explanation:

Given the terms;

`\begin{gathered} 20a^2b^2 \\ \text{and} \\ 50b^3 \end{gathered}`

Let us expand each of the terms;

`\begin{gathered} 20a^2b^2=2*2*5* a* a* b* b \\ 50b^3=2*5*5* b* b* b \end{gathered}`

We can now write out the common factors;

`\begin{gathered} \text{GCF}=2*5* b* b \\ \text{GCF}=10b^2 \end{gathered}`

Therefore, the greatest common factor is;

`10b^2`