Find the greatest common factor. \( 2 q, 4 q \) 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 \( 2q \) and \( 4q \), follow these steps: 1. **Factor Each Term:** - \( 2q = 2 \times q \) - \( 4q = 4 \times q = 2^2 \times q \) 2. **Identify Common Factors:** - Both terms have the factor \( 2 \) and \( q \). 3. **Determine the Lowest Exponents for Common Factors:** - For \( 2 \): The lowest exponent is \( 1 \) (from \( 2q \)). - For \( q \): The lowest exponent is \( 1 \) (both terms have \( q \)). 4. **Multiply the Common Factors with Their Lowest Exponents:** \[ \text{GCF} = 2^1 \times q^1 = 2q \] **Final Answer:** \[ 2q \]