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Find the greatest common factor.\newline6c,9c26c, 9c^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.\newline6c,9c26c, 9c^2\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factorization of 6c6c: First find the complete factorization of 6c6c.\newline6=2×36 = 2 \times 3\newlinec=cc = c\newline6c=2×3×c6c = 2 \times 3 \times c
  2. Factorization of 9c29c^2: Now, find the complete factorization of 9c29c^2. \newline9=3×39 = 3 \times 3\newlinec2=c×cc^2 = c \times c\newline9c2=3×3×c×c9c^2 = 3 \times 3 \times c \times c
  3. Find Greatest Common Factor: We found:\newline6c=2×3×c6c = 2 \times 3 \times c\newline9c2=3×3×c×c9c^2 = 3 \times 3 \times c \times c\newlineFind the greatest common factor of 6c6c and 9c29c^2.\newlineCommon factors are 33 and cc.\newline3×c=3c3 \times c = 3c\newlineGreatest common factor: 3c3c

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