Answer
$2r^{2}$ , $-5$
Work Step by Step
$2r^{3}+12r^{2}-5r-30$
...the first two terms:
$2r^{3}=(2)\cdot(r\cdot r)\cdot r$
$12r^{2}=(2)\cdot 2\cdot 3\cdot(r\cdot r)$
GCF: $2r^{2}$
...the last two terms.
$-5r=(-1)\cdot(5)\cdot r$
$-30=(-1)\cdot 2\cdot 3\cdot(5)$
GCF: $-5$