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39 has a couple factors: 1, 3, 13, 39. Its greatest factor would be 39. HOWEVER, it doesn't have a common factor. You need two numbers to find what their greatest common factor is.

For instance: 8 and 12. 8 has 1,2,4,8 and 12 has 1,2,3,4,6,12. The factors they have in common are 2 and 4, with 4 being their GCF.

So 39 cannot have a common factor unless there is another number!

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Q: What is the most highest common factor of 39?
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