What is the least common factor of 36 and 45?

To answer the question, "What is the least common factor of 36 and 45?", we will start by defining and listing factors of 36 and 45.

Factors of 36 are all the integers that when multiplied by another integer equal 36. Likewise, factors of 45 are all the integers that when multiplied by another integer equal 45.

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

The factors 45 are 1, 3, 5, 9, 15, and 45.

When you ask, "What is the least common factor of 36 and 45?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 36 and 45 have in common is 1.

Note that all integers, such as 36 and 45, 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 36 and 45, you may also be interested in knowing the greatest common factor of 36 and 45. The greatest factor 36 and 45 have in common, per the list above, is 9.

When you asked for the least common factor of 36 and 45, did you mean least common multiple? If so, the least common multiple of 36 and 45 is 180.

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