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Find the greatest common factor. $\newline$ $s^3, 3s$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ $\_\_$

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GCF of monomials

Full solution

Q. Find the greatest common factor.

\newline

s^3, 3s

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

\_\_

Find Factorization of $s^3$ : First, we need to find the complete factorization of $s^3$ . $\newline$ $s^3 = s \times s \times s$
Find Factorization of $3s$ : Next, we find the complete factorization of $3s$ . $3s = 3 \times s$
Compare and Identify Common Factors: Now, we compare the factorizations to find the common factors of $s^3$ and $3s$ . $\newline$ $s^3$ has factors $s$ , $s$ , and $s$ . $\newline$ $3s$ has factors $3$ and $s$ . $\newline$ The common factors are $s$ .
Determine Greatest Common Factor: The greatest common factor is the highest power of $s$ that is present in both expressions. $\newline$ Since $3s$ has only one $s$ , the greatest common factor cannot have more than one $s$ . $\newline$ Therefore, the greatest common factor is $s$ .

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