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Find the greatest common factor.\newline9v3,6v39v^3, 6v^3\newline\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline‾\underline{\hspace{1cm}}

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Q. Find the greatest common factor.\newline9v3,6v39v^3, 6v^3\newline\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline‾\underline{\hspace{1cm}}
  1. Factorize Terms: Factorize each term completely.\newlineFor 9v39v^3, we have:\newline9=3×39 = 3 \times 3\newlinev3=v×v×vv^3 = v \times v \times v\newlineTherefore, 9v3=3×3×v×v×v9v^3 = 3 \times 3 \times v \times v \times v
  2. Factorize Second Term: Factorize the second term completely.\newlineFor 6v36v^3, we have:\newline6=2×36 = 2 \times 3\newlinev3=v×v×vv^3 = v \times v \times v\newlineTherefore, 6v3=2×3×v×v×v6v^3 = 2 \times 3 \times v \times v \times v
  3. Identify Common Factors: Identify the common factors between 9v39v^3 and 6v36v^3. The common factors are 33, vv, vv, and vv.
  4. Find Greatest Common Factor: Multiply the common factors to find the greatest common factor (GCF). The GCF is 3×v×v×v=3v33 \times v \times v \times v = 3v^3

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