What is the least common factor of 9 and 36?




To answer the question, "What is the least common factor of 9 and 36?", we will start by defining and listing factors of 9 and 36.

Factors of 9 are all the integers that when multiplied by another integer equal 9. Likewise, factors of 36 are all the integers that when multiplied by another integer equal 36.

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

The factors 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

When you ask, "What is the least common factor of 9 and 36?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 9 and 36 have in common is 1.


Note that all integers, such as 9 and 36, 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 36, you may also be interested in knowing the greatest common factor of 9 and 36. The greatest factor 9 and 36 have in common, per the list above, is 9.

When you asked for the least common factor of 9 and 36, did you mean least common multiple? If so, the least common multiple of 9 and 36 is 36.


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