To factor the expression \(2x + 2y\) by dividing out the greatest common factor (GCF), first identify the GCF of the terms in the expression.
In this case, the GCF of \(2x\) and \(2y\) is \(2\).
Now, divide each term by the GCF:
\[ 2x + 2y = 2(x + y) \]
So, the factored form of the expression \(2x + 2y\) is:
\[ 2(x + y) \]