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Find the greatest common factor. $\newline$ $4f^3, 8f^2$ $\newline$ 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

4f^3, 8f^2

\newline

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

\newline

\_\_

Factorization of $4f^3$ : First, find the complete factorization of $4f^3$ .
$4 = 2 \times 2$
$f^3 = f \times f \times f$
So, $4f^3 = 2 \times 2 \times f \times f \times f$
Factorization of $8f^2$ : Now, find the complete factorization of $8f^2$ .
$8 = 2 \times 2 \times 2$
$f^2 = f \times f$
So, $8f^2 = 2 \times 2 \times 2 \times f \times f$
Find Greatest Common Factor: We have: $\newline$ $4f^3 = 2 \times 2 \times f \times f \times f$ $\newline$ $8f^2 = 2 \times 2 \times 2 \times f \times f$ $\newline$ Find the greatest common factor of $4f^3$ and $8f^2$ . $\newline$ Common factors are $2$ , $2$ , $f$ , and $f$ . $\newline$ $2 \times 2 \times f \times f = 4f^2$ $\newline$ Greatest common factor: $4f^2$

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