What is the least common factor of 72 and 49?

To answer the question, "What is the least common factor of 72 and 49?", we will start by defining and listing factors of 72 and 49.

Factors of 72 are all the integers that when multiplied by another integer equal 72. Likewise, factors of 49 are all the integers that when multiplied by another integer equal 49.

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

The factors 49 are 1, 7, and 49.

When you ask, "What is the least common factor of 72 and 49?", least is the key word here. Least means smallest. Thus, the smallest or least common factor that 72 and 49 have in common is 1.

Note that all integers, such as 72 and 49, 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 72 and 49, you may also be interested in knowing the greatest common factor of 72 and 49. The greatest factor 72 and 49 have in common, per the list above, is 1.

When you asked for the least common factor of 72 and 49, did you mean least common multiple? If so, the least common multiple of 72 and 49 is 3528.

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