Question

find the greatest common factor of these three expressions.
18w, 27w², and 45w⁵

Explanation:

Step1: Find GCF of coefficients

Factor 18, 27, 45:
$18 = 2 \times 3^2$, $27 = 3^3$, $45 = 3^2 \times 5$.
GCF of coefficients is $3^2 = 9$.

Step2: Find GCF of variables

For $w$, $w^2$, $w^5$:
The lowest power of $w$ is $w^1 = w$.

Step3: Combine GCFs

Multiply the GCF of coefficients and variables: $9 \times w = 9w$.

Answer:

$9w$