What is the least common factor of 36 and 84?

To answer the question, "What is the least common factor of 36 and 84?", we will start by defining and listing factors of 36 and 84.

Factors of 36 are all the integers that when multiplied by another integer equal 36. Likewise, factors of 84 are all the integers that when multiplied by another integer equal 84.

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

The factors 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

When you ask, "What is the least common factor of 36 and 84?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 36 and 84 have in common is 1.

Note that all integers, such as 36 and 84, 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 84, you may also be interested in knowing the greatest common factor of 36 and 84. The greatest factor 36 and 84 have in common, per the list above, is 12.

When you asked for the least common factor of 36 and 84, did you mean least common multiple? If so, the least common multiple of 36 and 84 is 252.

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