Question

find the greatest common factor.
3q^{3}, 3q^{5}
write your answer as a constant times a product of single variables raised to exponents.

Explanation:

Step1: Analyze coefficients

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

Step2: Analyze variable terms

For the variable \( q \), the exponents are 1 (from \( 3q \)) and 2 (from \( 3q^2 \)). The lowest exponent is 1, so we take \( q^1 = q \).

Step3: Combine

Multiply the GCF of the coefficients and the GCF of the variable terms: \( 3\times q = 3q \).

Answer:

\( 3q \)