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Find the greatest common factor.\newline9c3,6c39c^3, 6c^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.\newline9c3,6c39c^3, 6c^3\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factorization of 9c39c^3: First find the complete factorization of 9c39c^3.\newline9=3×39 = 3 \times 3\newlinec3=c×c×cc^3 = c \times c \times c\newline9c3=3×3×c×c×c9c^3 = 3 \times 3 \times c \times c \times c
  2. Factorization of 6c36c^3: Now, find the complete factorization of 6c36c^3. \newline6=2×36 = 2 \times 3\newlinec3=c×c×cc^3 = c \times c \times c\newline6c3=2×3×c×c×c6c^3 = 2 \times 3 \times c \times c \times c
  3. Find Greatest Common Factor: We found:\newline9c3=3×3×c×c×c9c^3 = 3 \times 3 \times c \times c \times c\newline6c3=2×3×c×c×c6c^3 = 2 \times 3 \times c \times c \times c\newlineFind the greatest common factor of 9c39c^3 and 6c36c^3.\newlineCommon factors are 33, cc, cc, and cc.\newline3×c×c×c=3c33 \times c \times c \times c = 3c^3\newlineGreatest common factor: 3c33c^3

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