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Find the greatest common factor.\newline9j,3j39j, 3j^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.\newline9j,3j39j, 3j^3\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline______
  1. Factorization of 9j9j: First find the complete factorization of 9j9j.9=3×39 = 3 \times 3j=jj = j9j=3×3×j9j = 3 \times 3 \times j
  2. Factorization of 3j33j^3: Now, find the complete factorization of 3j33j^3. \newline3=33 = 3\newlinej3=j×j×jj^3 = j \times j \times j\newline3j3=3×j×j×j3j^3 = 3 \times j \times j \times j
  3. Find Greatest Common Factor: We found:\newline9j=3×3×j9j = 3 \times 3 \times j\newline3j3=3×j×j×j3j^3 = 3 \times j \times j \times j\newlineFind the greatest common factor of 9j9j and 3j33j^3.\newlineCommon factors are 33 and jj.\newline3×j=3j3 \times j = 3j\newlineGreatest common factor: 3j3j

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