Answer
$6k^{3}(1-6k-8k^{2})$
Work Step by Step
The greatest common factor of $6k^{3}-36k^{4}-48k^{5}$ is $6k^{3}$.
We can use the distributive property to factor out the greatest common factor.
1. $6k^{3}-36k^{4}-48k^{5}$
2. $6k^{3}\times1+6k^{3}\times-6k+6k^{3}\times-8k^{2}$
3. $6k^{3}(1-6k-8k^{2})$