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Find the greatest common factor. $\newline$ $4y, 2y^3$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ ______

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GCF of monomials

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Q. Find the greatest common factor.

\newline

4y, 2y^3

\newline

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

\newline

______

Factorization of $4y$ : First find the complete factorization of $4y$ . $4 = 2 \times 2$ $y = y$ $4y = 2 \times 2 \times y$
Factorization of $2y^3$ : Now, find the complete factorization of $2y^3$ . $\newline$ $2 = 2$ $\newline$ $y^3 = y \times y \times y$ $\newline$ $2y^3 = 2 \times y \times y \times y$
Find Greatest Common Factor: We found: $\newline$ $4y = 2 \times 2 \times y$ $\newline$ $2y^3 = 2 \times y \times y \times y$ $\newline$ Find the greatest common factor of $4y$ and $2y^3$ . $\newline$ Common factors are $2$ and $y$ . $\newline$ $2 \times y = 2y$ $\newline$ Greatest common factor: $2y$

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