What is the least common factor of 6 and 45?




To answer the question, "What is the least common factor of 6 and 45?", we will start by defining and listing factors of 6 and 45.

Factors of 6 are all the integers that when multiplied by another integer equal 6. Likewise, factors of 45 are all the integers that when multiplied by another integer equal 45.

The factors of 6 are 1, 2, 3, and 6.

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

When you ask, "What is the least common factor of 6 and 45?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 6 and 45 have in common is 1.


Note that all integers, such as 6 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 6 and 45, you may also be interested in knowing the greatest common factor of 6 and 45. The greatest factor 6 and 45 have in common, per the list above, is 3.

When you asked for the least common factor of 6 and 45, did you mean least common multiple? If so, the least common multiple of 6 and 45 is 90.


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