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Start with the factors of 99:
99 = 33 X 3 = 11 X 3 X 3.
So {1, 3, 9, 11, 33, 99} are the factors of 99.
Next find the factors for 66:
66 = 11 X 6 = 11 X 3 X 2.
So {1, 2, 3, 6, 11, 22, 33, 66} are the factors of 66.
Next find the common numbers of these two sets:
{1, 3, 11, 33}.
Since 33 is the largest of these numbers, it is the greatest common factor.
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