## Algebra 1: Common Core (15th Edition)

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