What is the least common factor of 10 and 17?




To answer the question, "What is the least common factor of 10 and 17?", we will start by defining and listing factors of 10 and 17.

Factors of 10 are all the integers that when multiplied by another integer equal 10. Likewise, factors of 17 are all the integers that when multiplied by another integer equal 17.

The factors of 10 are 1, 2, 5, and 10.

The factors 17 are 1 and 17.

When you ask, "What is the least common factor of 10 and 17?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 10 and 17 have in common is 1.


Note that all integers, such as 10 and 17, have 1 as one of its factors. Thus, the answer to the least common factor of any two integers greater than 0 will always be 1.

Now that you know the least common factor of 10 and 17, you may also be interested in knowing the greatest common factor of 10 and 17. The greatest factor 10 and 17 have in common, per the list above, is 1.

When you asked for the least common factor of 10 and 17, did you mean least common multiple? If so, the least common multiple of 10 and 17 is 170.


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