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Find the greatest common factor. $\newline$ $4z^2, 8z$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ ______

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GCF of monomials

Full solution

Q. Find the greatest common factor.

\newline

4z^2, 8z

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

______

Factorization of $4z^2$ : First, find the complete factorization of $4z^2$ . $\newline$ $4 = 2 \times 2$ $\newline$ $z^2 = z \times z$ $\newline$ $4z^2 = 2 \times 2 \times z \times z$
Factorization of $8z$ : Now, find the complete factorization of $8z$ . $8 = 2 \times 2 \times 2$ $z = z$ $8z = 2 \times 2 \times 2 \times z$
Find Greatest Common Factor: We found: $\newline$ $4z^2 = 2 \times 2 \times z \times z$ $\newline$ $8z = 2 \times 2 \times 2 \times z$ $\newline$ Find the greatest common factor of $4z^2$ and $8z$ . $\newline$ Common factors are $2$ , $2$ , and $z$ . $\newline$ $2 \times 2 \times z = 4z$ $\newline$ Greatest common factor: $4z$

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