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Find the greatest common factor.\newline6s3,8s36s^3, 8s^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.\newline6s3,8s36s^3, 8s^3\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factorization of 6s36s^3: First find the complete factorization of 6s36s^3.\newline6=2×36 = 2 \times 3\newlines3=s×s×ss^3 = s \times s \times s\newline6s3=2×3×s×s×s6s^3 = 2 \times 3 \times s \times s \times s
  2. Factorization of 8s38s^3: Now, find the complete factorization of 8s38s^3.8=2×2×28 = 2 \times 2 \times 2s3=s×s×ss^3 = s \times s \times s8s3=2×2×2×s×s×s8s^3 = 2 \times 2 \times 2 \times s \times s \times s
  3. Common Factor Calculation: We found:\newline6s3=2×3×s×s×s6s^3 = 2 \times 3 \times s \times s \times s\newline8s3=2×2×2×s×s×s8s^3 = 2 \times 2 \times 2 \times s \times s \times s\newlineFind the greatest common factor of 6s36s^3 and 8s38s^3.\newlineThe common factors are 22, ss, ss, and ss.\newline2×s×s×s=2s32 \times s \times s \times s = 2s^3\newlineGreatest common factor: 2s32s^3

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