Question

find the greatest common factor.
$6w^2, 3w^3$
write your answer as a constant times a product of single variables raised to exponents.

Explanation:

Step1: Find GCF of coefficients

The coefficients are 6 and 3. The GCF of 6 and 3 is 3.

Step2: Find GCF of variables

For the variable \( w \), the exponents are 2 and 3. The GCF of \( w^2 \) and \( w^3 \) is \( w^2 \) (since we take the lowest exponent).

Step3: Combine results

Multiply the GCF of the coefficients and the GCF of the variables: \( 3 \times w^2 = 3w^2 \).

Answer:

\( 3w^2 \)