Question

find the greatest common factor.
9z, 3z²
write your answer as a constant times a product of single variables raised to exponents.

Explanation:

Step1: Find GCF of coefficients

Factors of 9: 1, 3, 9
Factors of 3: 1, 3
GCF of 9 and 3 is 3.

Step2: Find GCF of variables

For \( z \) (from \( 9z \)) and \( z^2 \) (from \( 3z^2 \)):
The lowest power of \( z \) is \( z^1 = z \).

Step3: Combine GCFs

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

Answer:

\( 3z \)