Final answer:
To factor out the GCF in the expression 16m^3 - 24m^2 - 32m, the highest power of m is taken out from each term resulting in 8m(m^2 - 3m - 4).
Step-by-step explanation:
To factor out the GCF (Greatest Common Factor) in the expression 16m3 - 24m2 - 32m, we need to find the highest power of m that appears in each term. In this case, it's m. So we can rewrite the expression as:
16m3 - 24m2 - 32m = 8m(m2 - 3m - 4)
The GCF in this case is 8m. Therefore, the factored form of the expression is 8m(m2 - 3m - 4).
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