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Find the greatest common factor.\newline9f2,6f39f^2, 6f^3\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_

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Full solution

Q. Find the greatest common factor.\newline9f2,6f39f^2, 6f^3\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factorization of 9f29f^2: First find the complete factorization of 9f29f^2.\newline9=3×39 = 3 \times 3\newlinef2=f×ff^2 = f \times f\newline9f2=3×3×f×f9f^2 = 3 \times 3 \times f \times f
  2. Factorization of 6f36f^3: Now, find the complete factorization of 6f36f^3.\newline6=2×36 = 2 \times 3\newlinef3=f×f×ff^3 = f \times f \times f\newline6f3=2×3×f×f×f6f^3 = 2 \times 3 \times f \times f \times f
  3. Find Greatest Common Factor: We found:\newline9f2=3×3×f×f9f^2 = 3 \times 3 \times f \times f\newline6f3=2×3×f×f×f6f^3 = 2 \times 3 \times f \times f \times f\newlineFind the greatest common factor of 9f29f^2 and 6f36f^3.\newlineCommon factors are 33, ff, and ff.\newline3×f×f=3f23 \times f \times f = 3f^2\newlineGreatest common factor: 3f23f^2

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