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Find the greatest common factor.\newline4m3,6m4m^3, 6m\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.\newline4m3,6m4m^3, 6m\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factorization of 4m34m^3: First find the complete factorization of 4m34m^3.\newline4=2×24 = 2 \times 2\newlinem3=m×m×mm^3 = m \times m \times m\newline4m3=2×2×m×m×m4m^3 = 2 \times 2 \times m \times m \times m
  2. Factorization of 6m6m: Now, find the complete factorization of 6m6m.6=2×36 = 2 \times 3m=mm = m6m=2×3×m6m = 2 \times 3 \times m
  3. Find Greatest Common Factor: We found:\newline4m3=2×2×m×m×m4m^3 = 2 \times 2 \times m \times m \times m\newline6m=2×3×m6m = 2 \times 3 \times m\newlineFind the greatest common factor of 4m34m^3 and 6m6m.\newlineCommon factors are 22 and mm.\newline2×m=2m2 \times m = 2m\newlineGreatest common factor: 2m2m

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