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.
![\begin{gathered} (6)/(6)=1 \\ (12)/(6)=2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/p3tgbnt3vlxg48ja395wv8t9tum5kk1gfr.png)
So, the GCF is 6. Once we know the GCF, we use the result of each division to express the factored expression.
![6y-12=6(y-2)](https://img.qammunity.org/2023/formulas/mathematics/college/xy2b8mh1dajzjpo1luokmrgi973it15yib.png)
Observe that the GCF is the coefficient of the binomial and the result of each division it represents each new term.
Therefore, the factored expression is 6(y - 2).