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Find the greatest common factor. $\newline$ $9f^2$ , $3f^3$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ ______

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GCF of monomials

Full solution

Q. Find the greatest common factor.

\newline

9f^2

,

3f^3

\newline

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

\newline

______

Factorization of $9f^2$ : First find the complete factorization of $9f^2$ . $\newline$ $9 = 3 \times 3$ $\newline$ $f^2 = f \times f$ $\newline$ $9f^2 = 3 \times 3 \times f \times f$
Factorization of $3f^3$ : Now, find the complete factorization of $3f^3$ . $\newline$ $3 = 3$ $\newline$ $f^3 = f \times f \times f$ $\newline$ $3f^3 = 3 \times f \times f \times f$
Find Greatest Common Factor: We found: $\newline$ $9f^2 = 3 \times 3 \times f \times f$ $\newline$ $3f^3 = 3 \times f \times f \times f$ $\newline$ Find the greatest common factor of $9f^2$ and $3f^3$ . $\newline$ Common factors are $3$ , $f$ , and $f$ . $\newline$ $3 \times f \times f = 3f^2$ $\newline$ Greatest common factor: $3f^2$

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