Question

what is the greatest common factor of 4k, 18k⁴, and 12?
○ 2
○ 4
○ 2k
○ 4k

Explanation:

Step1: Factor numerical coefficients

Factor 4, 18, 12:
$4 = 2^2$, $18 = 2 \times 3^2$, $12 = 2^2 \times 3$
The greatest common numerical factor is 2.

Step2: Analyze variable terms

The terms are $4k$, $18k^4$, $12$. The term 12 has no $k$ variable, so there is no common variable factor across all three terms.

Step3: Combine common factors

Multiply the common numerical factor and common variable factor (which is 1 here, since no shared variable).
$\text{GCF} = 2 \times 1 = 2$

Answer:

A. 2