Given the expression;
[tex]12x-18y+24[/tex]
We shall take the common factors as shown below;
[tex]\begin{gathered} 12x=2\times2\times3\times x \\ 18y=2\times3\times3\times y \\ 24=2\times2\times2\times3 \end{gathered}[/tex]
We can now take all the common factors as follows;
[tex]2,3[/tex]
Note that other values are not common to all three numbers. Hence what we have as the greatest common factor is the product of 2 and 3.
The greatest common factor therefore is 6.
