Find the greatest common factor. \( 3,6 k^{3} \) Write your answer as a constant times a product of single variables raised to exponents.

To find the greatest common factor (GCF) of the terms \( 3 \) and \( 6k^{3} \), follow these steps: 1. **Factor Each Term:** - \( 3 \) is a prime number, so its only factors are \( 1 \) and \( 3 \). - \( 6k^{3} \) can be factored into its prime components: \( 6k^{3} = 2 \times 3 \times k^{3} \). 2. **Identify Common Factors:** - The common factor between \( 3 \) and \( 6k^{3} \) is \( 3 \). 3. **Express the GCF:** - Since there are no common variables with positive exponents in both terms, the GCF is simply the constant \( 3 \). **Final Answer:** \[ 3 \]