# How do you find the gcf of 3a^3 - 6a^2 - 9a?

Jul 8, 2015

Find the largest number and highest degree of $a$ that will divide evenly into all three terms in the equation. Multiply them to get the GCF.

#### Explanation:

$3 {a}^{3} - 6 {a}^{2} - 9 a$

The greatest number that can be divided evenly into $3 {a}^{3} ,$ $- 6 {a}^{2} ,$ and $- 9 a$ is $3$.

The highest degree of $a$ that can be divided evenly into $3 {a}^{3} ,$ $- 6 {a}^{2} ,$ a $- 9 a$ is $a$.

The GCF for the equation is $3 \cdot a = 3 a$.