Question

find the greatest common factor.
9v³, 3v³
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 (since \( \gcd(9,3) = 3 \)).

Step2: Find GCF of variables

The variable terms are \( v^3 \) and \( v^3 \). The GCF of \( v^3 \) and \( v^3 \) is \( v^3 \) (since the lowest power of \( v \) in both terms is 3).

Step3: Combine GCFs

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

Answer:

\( 3v^3 \)