Hello.
Remember that factoring is the opposite of distributing.
Factoring looks like this:
ab+ac=a(b+c)
factor out the greatest common factor
In this case, the Greatest Common Factor is
2
Now, divide both terms of the expression by 2.
2(8w+1)
Is this right? We can easily check by using the Distributive Property and distributing 2. Then, we can compare both expressions and see if we ended up with the original expression.
16w+2
See? We have the original expression.
I hope it helps.
Have an awesome day.