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

User Artyomboyko
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1 Answer

12 votes
12 votes

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

User Sversch
by
3.1k points
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