First, we find the Greatest Common Factor (GCF) between 6 and 12. It's important to remember that the GCF refers to the greatest number that can divide by each number. In this case, we can easily deduct that 6 is the greatest number that divides each of them.
[tex]\begin{gathered} \frac{6}{6}=1 \\ \frac{12}{6}=2 \end{gathered}[/tex]So, the GCF is 6. Once we know the GCF, we use the result of each division to express the factored expression.
[tex]6y-12=6(y-2)[/tex]Observe that the GCF is the coefficient of the binomial and the result of each division it represents each new term.