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To find the greatest common factor of two numbers you first need to express those numbers as prime factors:
34 = 17x2
68 = 17x2x2
The next step is to identify any common prime factors. In this case, both numbers have 17 and 2 as prime factors. Thus to find the GCF, we multiply these numbers together:
17x2 = 34.
Thus the greatest common factor of 34 and 68 is 34.
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