Answer
$4h^{2}$
Work Step by Step
$16h^{4}-12h^{3}-36h^{2}$
... factor each term.
$16h^{4}=(2\cdot 2)\cdot 2\cdot 2\cdot(h\cdot h)\cdot h\cdot h$
$12h^{3}=(2\cdot 2)\cdot 3\cdot(h\cdot h)\cdot h$
$36h^{2}=(2\cdot 2)\cdot 2\cdot 2\cdot 2\cdot(h\cdot h)$
GCF: $4h^{2}$