Answer
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 $(6)(5)=30$.
