what is the greatest common factor of 4k, 18k⁴, and 12?\n2\n4\n2k\n4k
what is the greatest common factor of 4k, 18k⁴, and 12?\n2\n4\n2k\n4k
Answer
Explanation:
Step1: Prime - factorize each term
$4k = 2\times2\times k$; $18k^{4}=2\times3\times3\times k\times k\times k\times k$; $12 = 2\times2\times3$.
Step2: Identify common factors
The common factors among $4k$, $18k^{4}$, and $12$ are $2$. There is no $k$ common to all three terms (since $12$ has no $k$ factor), and the highest - power of $2$ that divides all three is $2$.
Answer:
A. 2