Answer
$8k(k^{2}+3)$
Work Step by Step
The greatest common factor of $8k^{3}+24k$ is $8k$.
We can use the distributive property to factor out the greatest common factor.
1. $8k^{3}+24k$
2. $8k\times k^{2}+8k\times3$
3. $8k(k^{2}+3)$