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Find the greatest common factor. $\newline$ $8f, 6f^2$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ ______

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GCF of monomials

Full solution

Q. Find the greatest common factor.

\newline

8f, 6f^2

\newline

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

\newline

______

Factorization of $8$ f: First find the complete factorization of $8f$ . $8 = 2 \times 2 \times 2$ $f = f$ $8f = 2 \times 2 \times 2 \times f$
Factorization of $6f^2$ : Now, find the complete factorization of $6f^2$ . $\newline$ $6 = 2 \times 3$ $\newline$ $f^2 = f \times f$ $\newline$ $6f^2 = 2 \times 3 \times f \times f$
Find Greatest Common Factor: We found: $\newline$ $8f = 2 \times 2 \times 2 \times f$ $\newline$ $6f^2 = 2 \times 3 \times f \times f$ $\newline$ Find the greatest common factor of $8f$ and $6f^2$ . $\newline$ Common factors are $2$ and $f$ . $\newline$ $2 \times f = 2f$ $\newline$ Greatest common factor: $2f$

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