# What is the greatest common monomial factor of 6f^2g^3 + 12g?

Jul 2, 2018

color(green)(6g " is the greatest monomial factor"

#### Explanation:

$6 {f}^{2} {g}^{3} + 12 g$

$\implies 6 \cdot {f}^{2} \cdot {g}^{2} \cdot g + 6 \cdot 2 \cdot g$

$\implies 6 g \left({f}^{2} {g}^{2} + 2\right)$

color(green)(6g " is the greatest monomial factor"