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

2f, f^2

\newline

\newline

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

\newline

______

Find Factorization of $2f$ : First, we need to find the complete factorization of $2f$ . $2f = 2 \times f$
Find Factorization of $f^2$ : Now, let's find the complete factorization of $f^2$ . $f^2 = f \times f$
Identify Common Factors: We have: $\newline$ $2f = 2 \times f$ $\newline$ $f^2 = f \times f$ $\newline$ Now, we need to find the common factors of $2f$ and $f^2$ . $\newline$ The common factor is $f$ .
Determine Greatest Common Factor: Since the only common factor is $f$ , the greatest common factor (GCF) is $f$ .

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