Question

What is the factoring greatest common factor (GCF) of 95x^3 and 65x^2

Answer 1

Notice that

`\begin{gathered} 95x^3=19\cdot5x^3 \\ \text{and} \\ 65x^2=13\cdot5x^2 \end{gathered}`

Then, the factors of both quantities are:

`\begin{gathered} 95x^3\colon x,x^2,x^3,5x,5x^2,5x^3,19x,19x^2,19x^3 \\ \end{gathered}`

and

`65x^2\colon x,x^2,5x,5x^2,13x,13x^2`

Then, the GCF is 5x^2