Factor out the greatest common factor. \[ 6 c^{2}-12 c \]

To factor out the greatest common factor (GCF) from the expression \( 6c^{2} - 12c \), follow these steps: 1. **Identify the GCF of the coefficients:** - The coefficients are 6 and -12. - The GCF of 6 and 12 is **6**. 2. **Identify the GCF of the variable terms:** - The terms are \( c^{2} \) and \( c \). - The GCF is the lowest power of \( c \), which is **\( c \)**. 3. **Factor out the GCF from each term:** - **Factor out 6c:** \[ 6c^{2} - 12c = 6c(c) - 6c(2) = 6c(c - 2) \] So, the expression factored with the greatest common factor is: \[ 6c(c - 2) \] **Final Answer:** \[ 6c(c - 2) \]