# How do you find the greatest common factor of 5c^3 and 11c^2?

Dec 14, 2016

${c}^{2}$

#### Explanation:

Rewrite the both numbers in smalles factors.
$5 {c}^{3} = 5 \cdot c \cdot c \cdot c$
$11 {c}^{2} = 11 \cdot c \cdot c$

See which factors are in common and then you get $c \cdot c = {c}^{2}$.

So you can rewrite $5 {c}^{3}$ as ${c}^{2} \cdot 5 c$ and $11 {c}^{2}$ as ${c}^{2} \cdot 11$.