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Find the greatest common factor.\newlines3,3ss^3, 3s\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.\newlines3,3ss^3, 3s\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Find Factorization of s3s^3: First, we need to find the complete factorization of s3s^3.\newlines3=s×s×ss^3 = s \times s \times s
  2. Find Factorization of 3s3s: Next, we find the complete factorization of 3s3s.3s=3×s3s = 3 \times s
  3. Compare and Identify Common Factors: Now, we compare the factorizations to find the common factors of s3s^3 and 3s3s. \newlines3s^3 has factors ss, ss, and ss. \newline3s3s has factors 33 and ss. \newlineThe common factors are ss.
  4. Determine Greatest Common Factor: The greatest common factor is the highest power of ss that is present in both expressions.\newlineSince 3s3s has only one ss, the greatest common factor cannot have more than one ss.\newlineTherefore, the greatest common factor is ss.

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