Answer
$8m^{2}$ , $3$
Work Step by Step
$8m^{3}+40m^{2}+6m+15=$
...the first two terms:
$8m^{3}=(2\cdot 2\cdot 2\cdot m\cdot m)\cdot m$
$40m^{2}=(2\cdot 2\cdot 2)\cdot 5\cdot(m\cdot m)$
GCF: $8m^{2}$
...the last two terms.
$6m=2\cdot 3\cdot m$
$15=3\cdot 5$
GCF: $3$
Answer: $8m^{2}$ , $3$