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Find the greatest common factor.\newline6f,3f26f, 3f^2\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline______

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Q. Find the greatest common factor.\newline6f,3f26f, 3f^2\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline______
  1. Find Prime Factorization: First, let's find the prime factorization of the numerical coefficients of both terms.\newline6=2×36 = 2 \times 3\newline3=33 = 3
  2. Consider Variable Part: Now, let's consider the variable part of both terms.\newlineFor 6f6f, we have a single ff, which is f1f^1.\newlineFor 3f23f^2, we have f2f^2.
  3. Find Common Factors: Next, we find the common factors between the two terms.\newlineThe common numerical factor is 33.\newlineThe common variable factor is ff to the power of the smallest exponent, which is f1f^1.
  4. Multiply Common Factors: Multiplying the common numerical and variable factors gives us the greatest common factor (GCF).\newlineGCF = 3×f13 \times f^1\newlineGCF = 3f3f