What is the least common factor of 9 and 25?




To answer the question, "What is the least common factor of 9 and 25?", we will start by defining and listing factors of 9 and 25.

Factors of 9 are all the integers that when multiplied by another integer equal 9. Likewise, factors of 25 are all the integers that when multiplied by another integer equal 25.

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

The factors 25 are 1, 5, and 25.

When you ask, "What is the least common factor of 9 and 25?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 9 and 25 have in common is 1.


Note that all integers, such as 9 and 25, 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 25, you may also be interested in knowing the greatest common factor of 9 and 25. The greatest factor 9 and 25 have in common, per the list above, is 1.

When you asked for the least common factor of 9 and 25, did you mean least common multiple? If so, the least common multiple of 9 and 25 is 225.


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