2 and 17
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Common factors of 17 and 102 are: 1 and 17.
The greatest common factor is 51
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.
There cannot be a greatest common factor (GCF) of just one number. To be common there need to be at least two numbers. If you find all the factors of two or more numbers, and you find some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.
The factors of 34 are: 1, 2, 17, 34The factors of 102 are: 1, 2, 3, 6, 17, 34, 51, 102The common factors are: 1, 2, 17, 34The Greatest Common Factor (GCF) is: 34