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Find the greatest common factor.\newline9f,3f39f, 3f^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.\newline9f,3f39f, 3f^3\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factorization of 99f: First find the complete factorization of 99f.\newline9=3×39 = 3 \times 3\newlinef=ff = f\newline9f=3×3×f9f = 3 \times 3 \times f
  2. Factorization of 3f33f^3: Now, find the complete factorization of 3f33f^3.\newline3=33 = 3\newlinef3=f×f×ff^3 = f \times f \times f\newline3f3=3×f×f×f3f^3 = 3 \times f \times f \times f
  3. Find Greatest Common Factor: We found:\newline9f=3×3×f9f = 3 \times 3 \times f\newline3f3=3×f×f×f3f^3 = 3 \times f \times f \times f\newlineFind the greatest common factor of 9f9f and 3f33f^3.\newlineCommon factors are 33 and ff.\newline3×f=3f3 \times f = 3f\newlineGreatest common factor: 3f3f

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