Answer
$5ac(3ac^{2}-5c+1)$
Work Step by Step
The greatest common factor of $15a^{2}c^{3}-25ac^{2}+5ac$ is $5ac$.
We can use the distributive property to factor out the greatest common factor.
1. $15a^{2}c^{3}-25ac^{2}+5ac$
2. $5ac\times3ac^{2}+5ac\times-5c+5ac\times1$
3. $5ac(3ac^{2}-5c+1)$
