Question

question identify the greatest common factor of 24w² and 36wx².

Explanation:

Step1: Prime - factor the coefficients

Prime - factor 24 and 36. $24 = 2\times2\times2\times3$ and $36=2\times2\times3\times3$. The greatest common factor of 24 and 36 is $2\times2\times3 = 12$.

Step2: Analyze the variable part

For the variable $w$, in $24w^{2}=w\times w\times24$ and $36wx^{2}=w\times36x^{2}$, the lowest power of $w$ is $w^1$. There is no $x$ in $24w^{2}$, so we don't include $x$ in the GCF.

Answer:

$12w$