What is the least common factor of 36 and 60?

To answer the question, "What is the least common factor of 36 and 60?", we will start by defining and listing factors of 36 and 60.

Factors of 36 are all the integers that when multiplied by another integer equal 36. Likewise, factors of 60 are all the integers that when multiplied by another integer equal 60.

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

The factors 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

When you ask, "What is the least common factor of 36 and 60?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 36 and 60 have in common is 1.

Note that all integers, such as 36 and 60, 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 60, you may also be interested in knowing the greatest common factor of 36 and 60. The greatest factor 36 and 60 have in common, per the list above, is 12.

When you asked for the least common factor of 36 and 60, did you mean least common multiple? If so, the least common multiple of 36 and 60 is 180.

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