What is the least common factor of 10 and 19?




To answer the question, "What is the least common factor of 10 and 19?", we will start by defining and listing factors of 10 and 19.

Factors of 10 are all the integers that when multiplied by another integer equal 10. Likewise, factors of 19 are all the integers that when multiplied by another integer equal 19.

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

The factors 19 are 1 and 19.

When you ask, "What is the least common factor of 10 and 19?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 10 and 19 have in common is 1.


Note that all integers, such as 10 and 19, 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 19, you may also be interested in knowing the greatest common factor of 10 and 19. The greatest factor 10 and 19 have in common, per the list above, is 1.

When you asked for the least common factor of 10 and 19, did you mean least common multiple? If so, the least common multiple of 10 and 19 is 190.


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