what is the gcf of 18k and 15k³

Explanation:

Step1: Find GCF of coefficients

Find GCF of (18) and (15). Factors of (18): (1,2,3,6,9,18) Factors of (15): (1,3,5,15) GCF of (18) and (15) is (3).

Step2: Find GCF of variables

For (k) and (k^{3}), use rule (GCF(k^{m},k^{n})=k^{\min(m,n)}). Here (m = 1), (n=3), so (GCF(k,k^{3})=k).

Step3: Multiply results

Multiply GCF of coefficients and variables: (3\times k=3k).

Answer:

(3k)