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Find the greatest common factor.\newline9y3,6y29y^3, 6y^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.\newline9y3,6y29y^3, 6y^2\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factorization of 9y39y^3: First, find the complete factorization of 9y39y^3.9=3×39 = 3 \times 3y3=y×y×yy^3 = y \times y \times ySo, 9y3=3×3×y×y×y9y^3 = 3 \times 3 \times y \times y \times y
  2. Factorization of 6y26y^2: Next, find the complete factorization of 6y26y^2. \newline6=2×36 = 2 \times 3\newliney2=y×yy^2 = y \times y\newlineSo, 6y2=2×3×y×y6y^2 = 2 \times 3 \times y \times y
  3. Common Factors and GCF: Now, find the common factors of 9y39y^3 and 6y26y^2. The common factors are 33, yy, and yy. So, the greatest common factor is 3×y×y=3y23 \times y \times y = 3y^2.

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