Question

find the greatest common factor of these th
9w⁴, 3w², and 45w

Explanation:

Step1: Find GCF of coefficients

The coefficients are 9, 3, 45. Prime factors:
$9 = 3 \times 3$, $3 = 3$, $45 = 3 \times 3 \times 5$.
GCF of 9, 3, 45 is 3.

Step2: Find GCF of variables

Variables: $w^4$, $w^2$, $w$.
For $w$, the lowest power is 1 (from $w = w^1$).

Step3: Combine results

Multiply GCF of coefficients and GCF of variables: $3 \times w = 3w$.

Answer:

$3w$