Question

Complete the following.(a) Find the greatest common factor (GCF) of 27 andGCF =(b) Use the GCF to factor 27-12.27 - 12 = ] -W

Answer 1

For this problem, we are given the numbers 27 and 12, and we need to determine the greatest common factor between them.

The first step to solving this issue is to break each number into factors as shown below:

`\begin{gathered} 27=3\cdot3\cdot3 \\ 12=2\cdot2\cdot3 \end{gathered}`

We need to take the factors that appear on both numbers at the same time:

`GCF=3`

The greatest common factor between 27 and 12 is 3.

Now we need to use the GCF to factor the operation 27-12. For that, we need to divide each number by the GCF:

`\begin{gathered} (27)/(3)=9 \\ (12)/(3)=4 \end{gathered}`

Now we have to multiply the GCF by the subtraction of the numbers above:

`3(9-4)`

The result is 27-12=3x(9-4).