What is the least common factor of 9 and 75?




To answer the question, "What is the least common factor of 9 and 75?", we will start by defining and listing factors of 9 and 75.

Factors of 9 are all the integers that when multiplied by another integer equal 9. Likewise, factors of 75 are all the integers that when multiplied by another integer equal 75.

The factors of 9 are 1, 3, and 9.

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

When you ask, "What is the least common factor of 9 and 75?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 9 and 75 have in common is 1.


Note that all integers, such as 9 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 9 and 75, you may also be interested in knowing the greatest common factor of 9 and 75. The greatest factor 9 and 75 have in common, per the list above, is 3.

When you asked for the least common factor of 9 and 75, did you mean least common multiple? If so, the least common multiple of 9 and 75 is 225.


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