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To find the greatest common factor of two numbers we first need to split them into their prime factors:
102 = 2x3x17
120 = 2x2x2x3x5
The next step is to identify the common factors. In this case both numbers have a 2 and a 3 as prime factors. To find the GCF we multiply these common factors together:
2x3 = 6
Thus 6 is the greatest common factor of 102 and 120.
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