Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Chapter Review - Page 536: 28


The GCF of $6p$ and $6q$ is $(6)(5)=30$.

Work Step by Step

If the GCF of $p$ and $q$ equals $5$, then $p=(5)\cdot r$ and $q=(5)\cdot s$ where r and s have no common factors, so $6p=(6)(5)\cdot r$ and $6q=(6)(5)\cdot s$. The GCF of $6p$ and $6q$ is $(6)(5)=30$.
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