Factor them.
2 x 2 x 3 x 3 x 3 = 108
2 x 2 x 2 x 3 x 5 = 120
2 x 2 x 2 x 2 x 3 x 3 = 144
Select the common factors.
2 x 2 x 3 = 12, the GCF
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The greatest common factor is 18
Since 54 is a factor of 108, it is automatically the GCF of this problem.
The greatest common factor of 108 and 117 is 9.
The greatest common factor of 108 and 144 is 36.
The Greatest Common Factor of 81, 108, 117: 9