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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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13y ago

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