Factor −27h + 6 using the GCF

Answer 1

To factor out the greatest common factor (GCF) of the expression −27h + 6, we need to find the largest number or variable that can divide both terms evenly.

First, let's look for a common factor among the coefficients (numbers): -27 and 6. The largest number that can divide both 27 and 6 is 3.

Now, let's look for any variables that are common to both terms: h. Since h is the only variable, it is a common factor.

To factor out the GCF, we divide each term by the GCF, which is 3h:

-27h ÷ (3h) = -9
6 ÷ (3h) = 2/h

Putting it all together, the factored form of −27h + 6 is:

3h(-9 + 2/h)