#### Answer

$5g^{2}$ , $2$

#### Work Step by Step

$10g^{3}-25g^{2}+4g-10$
...the first two terms:
$10g^{3}=2\cdot(5)\cdot(g\cdot g)\cdot g$
$-25g^{2}=-1\cdot(5)\cdot 5\cdot(g\cdot g)$
GCF: $5g^{2}$
...the last two terms.
$4g=(2)\cdot 2\cdot g$
$-10=-1\cdot(2)\cdot 5$
GCF: $2$