Find the greatest common factor. 2f^3,8f^2 Write your answer as a constant times a product of sing square

To find the greatest common factor (GCF) of \(2f^3\) and \(8f^2\), we need to follow these steps:<br /><br />1. **Factorize each term:**<br /> - \(2f^3 = 2 \cdot f \cdot f \cdot f\)<br /> - \(8f^2 = 2 \cdot 2 \cdot 2 \cdot f \cdot f\)<br /><br />2. **Identify the common factors:**<br /> - The common factors between \(2f^3\) and \(8f^2\) are \(2\) and \(f^2\).<br /><br />3. **Multiply the common factors:**<br /> - The GCF is \(2 \cdot f^2\).<br /><br />Therefore, the greatest common factor of \(2f^3\) and \(8f^2\) is \(2f^2\).<br /><br />So, the answer is:<br />\[ 2f^2 \]