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Find the greatest common factor.\newline9h29h^2, 3h33h^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.\newline9h29h^2, 3h33h^3\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline______
  1. Factorization of 9h29h^2: First, find the complete factorization of 9h29h^2.
    9=3×39 = 3 \times 3
    h2=h×hh^2 = h \times h
    9h2=3×3×h×h9h^2 = 3 \times 3 \times h \times h
  2. Factorization of 3h33h^3: Now, find the complete factorization of 3h33h^3. \newline3=33 = 3\newlineh3=h×h×hh^3 = h \times h \times h\newline3h3=3×h×h×h3h^3 = 3 \times h \times h \times h
  3. Find Greatest Common Factor: We found:\newline9h2=3×3×h×h9h^2 = 3 \times 3 \times h \times h\newline3h3=3×h×h×h3h^3 = 3 \times h \times h \times h\newlineFind the greatest common factor of 9h29h^2 and 3h33h^3.\newlineCommon factors are 33, hh, and hh.\newline3×h×h=3h23 \times h \times h = 3h^2\newlineGreatest common factor: 3h23h^2

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