Find the greatest common factor. 2f^3, 10f^2 Write your answer as a constant times a product of single variables raised to exponents. ______

Factorization of 2f^3: First, find the complete factorization of 2f^3. 2 = 2 f^3 = f * f * f So, 2f^3 = 2 * f * f * fFactorization of 10f^2: Now, find the complete factorization of 10f^2. 10 = 2 * 5 f^2 = f * f So, 10f^2 = 2 * 5 * f * fFind Greatest Common Factor: We found: 2f^3 = 2 * f * f * f 10f^2 = 2 * 5 * f * f Find the greatest common factor of 2f^3 and 10f^2. Common factors are 2, f, and f. 2 * f * f = 2f^2 Greatest common factor: 2f^2

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Math Problems

Algebra 1

GCF of monomials

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Q. Find the greatest common factor.

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2f^3, 10f^2

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

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Factorization of $2f^3$ : First, find the complete factorization of $2f^3$ . $\newline$ $2 = 2$ $\newline$ $f^3 = f \times f \times f$ $\newline$ So, $2f^3 = 2 \times f \times f \times f$
Factorization of $10f^2$ : Now, find the complete factorization of $10f^2$ . $\newline$ $10 = 2 \times 5$ $\newline$ $f^2 = f \times f$ $\newline$ So, $10f^2 = 2 \times 5 \times f \times f$
Find Greatest Common Factor: We found: $\newline$ $2f^3 = 2 \times f \times f \times f$ $\newline$ $10f^2 = 2 \times 5 \times f \times f$ $\newline$ Find the greatest common factor of $2f^3$ and $10f^2$ . $\newline$ Common factors are $2$ , $f$ , and $f$ . $\newline$ $2 \times f \times f = 2f^2$ $\newline$ Greatest common factor: $2f^2$