What is the least common factor of 9 and 64?




To answer the question, "What is the least common factor of 9 and 64?", we will start by defining and listing factors of 9 and 64.

Factors of 9 are all the integers that when multiplied by another integer equal 9. Likewise, factors of 64 are all the integers that when multiplied by another integer equal 64.

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

The factors 64 are 1, 2, 4, 8, 16, 32, and 64.

When you ask, "What is the least common factor of 9 and 64?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 9 and 64 have in common is 1.


Note that all integers, such as 9 and 64, 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 64, you may also be interested in knowing the greatest common factor of 9 and 64. The greatest factor 9 and 64 have in common, per the list above, is 1.

When you asked for the least common factor of 9 and 64, did you mean least common multiple? If so, the least common multiple of 9 and 64 is 576.


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