Question

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

Explanation:

Step1: Factor each term

Factor \(4k\): \(4k = 2\times2\times k\)
Factor \(18k^4\): \(18k^4 = 2\times3\times3\times k\times k\times k\times k\)
Factor \(12\): \(12 = 2\times2\times3\)

Step2: Identify common factors

• For numerical coefficients: The common prime factor is \(2\) (highest power of common primes).
• For variable \(k\): \(12\) has no \(k\), so no common variable factor.

Answer:

2