#### Answer

4$h^{2}$

#### Work Step by Step

Given the polynomial
$16h^{4}$ - $12h^{3}$ - $36h^{2}$
We find the factors of all the terms in the polynomial.
Factors of 16: 1,2, 4, 8, 16
$1 \times 16 ; 2 \times 8, 4 \times 4 $
Factors of 12: 1 , 2, 3, 4, 6, 12
$1 \times 12 ; 2 \times 6 ; 3 \times 4$
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
$1 \times 36 ; 2 \times 18 ; 3 \times 12 ; 4 \times 9 ; 6 \times 6$
All the three terms have the factor of 4$h^{2}$ and thus the greatest common factor is 4$h^{2}$.