Answer:
18
Step-by-step explanation:
[tex]\bold{METHOD\ 1}\\\\\begin{array}{c|cccc|cccc|c}36&2&&&54&2&&&108&2\\18&2&&&27&3&&&54&2\\9&3&&&9&3&&&27&3\\3&3&&&3&3&&&9&3\\1&&&&1&&&&3&3\\&&&&&&&&1\end{array}\\\\36=\boxed{2}\cdot2\cdot\boxed{3}\cdot\boxed{3}\\54=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}\cdot3\\108=\boxed{2}\cdot2\cdot\boxed{3}\cdot\boxed{3}\cdot3[/tex]
[tex]GCF(36,\ 54,\ 108)=\boxed{2}\cdot\boxed{3}\cdot\boxed{3}=18[/tex]
[tex]\bold{METHOD\ 2}\\\\dividers\ of\\\\36:\{1,\ 2,\ 3,\ 4,\ 6,\ 9,\ 12,\ \boxed{18},\ 36\}\\\\54:\{1,\ 2,\ 3,\ \boxed{18},\ 27,\ 54\}\\\\108:\{1,\ 2,\ 3,\ 4,\ 6,\ \boxed{18},\ 27,\ 36,\ 54,\ 108\}\\\\GCF(36,\ 54,\ 108)=\boxed{18}[/tex]
