Find the greatest common factor. $$ 10 \mathrm{~s}, 2 s^{3} $$ Write your answer as a constant times a product of single variables raised to exponents.

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To find the greatest common factor (GCF) of $$ 10s $$ and $$ 2s^3 $$, follow these steps:

1. **Factor the Coefficients:**
   - $$ 10 $$ factors into $$ 2 \times 5 $$.
   - $$ 2 $$ is already a prime number.
   - The GCF of the coefficients $$ 10 $$ and $$ 2 $$ is $$ 2 $$.

2. **Factor the Variable Parts:**
   - $$ s $$ in $$ 10s $$ is $$ s^1 $$.
   - $$ s^3 $$ in $$ 2s^3 $$.
   - The GCF for the variables is the variable raised to the lowest exponent, which is $$ s^1 $$.

3. **Combine the GCF of the Coefficients and Variables:**
   - Multiply the GCF of the coefficients by the GCF of the variables: $$ 2 \times s^1 = 2s $$.

**Final Answer:**
$$ 2s $$
The greatest common factor is $$ 2s $$.

Find the greatest common factor. \( 10 \mathrm{~s}, 2 s^{3} \) Write your answer as a constant times a product of single variables raised to exponents.

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