What is the least common factor of 14 and 75?




To answer the question, "What is the least common factor of 14 and 75?", we will start by defining and listing factors of 14 and 75.

Factors of 14 are all the integers that when multiplied by another integer equal 14. Likewise, factors of 75 are all the integers that when multiplied by another integer equal 75.

The factors of 14 are 1, 2, 7, and 14.

The factors 75 are 1, 3, 5, 15, 25, and 75.

When you ask, "What is the least common factor of 14 and 75?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 14 and 75 have in common is 1.


Note that all integers, such as 14 and 75, 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 14 and 75, you may also be interested in knowing the greatest common factor of 14 and 75. The greatest factor 14 and 75 have in common, per the list above, is 1.

When you asked for the least common factor of 14 and 75, did you mean least common multiple? If so, the least common multiple of 14 and 75 is 1050.


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