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Find the greatest common factor.\newline8f,6f28f, 6f^2\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.\newline8f,6f28f, 6f^2\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline______
  1. Factorization of 88f: First find the complete factorization of 8f8f.8=2×2×28 = 2 \times 2 \times 2f=ff = f8f=2×2×2×f8f = 2 \times 2 \times 2 \times f
  2. Factorization of 6f26f^2: Now, find the complete factorization of 6f26f^2.\newline6=2×36 = 2 \times 3\newlinef2=f×ff^2 = f \times f\newline6f2=2×3×f×f6f^2 = 2 \times 3 \times f \times f
  3. Find Greatest Common Factor: We found:\newline8f=2×2×2×f8f = 2 \times 2 \times 2 \times f\newline6f2=2×3×f×f6f^2 = 2 \times 3 \times f \times f\newlineFind the greatest common factor of 8f8f and 6f26f^2.\newlineCommon factors are 22 and ff.\newline2×f=2f2 \times f = 2f\newlineGreatest common factor: 2f2f

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