Question

find the greatest common factor.
9h², 3h³
write your answer as a constant times a product of single variables raised to exponents.

Explanation:

Step1: Find GCF of coefficients

The coefficients are 9 and 3. The GCF of 9 and 3 is 3.

Step2: Find GCF of variables

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

Step3: Combine results

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

Answer:

\( 3h^2 \)