Question

what is the gcf of 18k and 15k³

Explanation:

Step1: Factor coefficients

Prime factors of 18: $2 \times 3^2$
Prime factors of 15: $3 \times 5$
GCF of coefficients: $3$

Step2: Factor variable terms

For $k$ (from $18k = k^1$) and $k^3$, the lowest power is $k^1 = k$

Step3: Multiply GCF parts

Multiply coefficient GCF and variable GCF: $3 \times k$

Answer:

3k