Problem 13 - Beginning and Intermediate Algebra

Question

Find the greatest common factor of each group of terms. $$ c(k-9), 5(k-9) $$

Step-by-Step Solution

Answer

The greatest common factor of the given group of terms $$c(k-9)$$ and $$5(k-9)$$ is \((k-9)\).

Step 1: Identify the common factors in both terms

We have the terms $$c(k-9)$$ and $$5(k-9)$$. We can see that the \((k-9)\) factor is in both terms.

Step 2: Determine the greatest common factor

Since the only common factor in both terms is \((k-9)\), this is the greatest common factor. So, the greatest common factor of the given group of terms is $$(k-9)$$.