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Q: Is the greatest common factor of two numbers is equal to the lesser of the number?

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Only if that number is a factor of the other.

No, the GCF is the lesser of the numbers.

No, the lesser.

Yes.

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Given a pair of numbers, if the lesser of the two is the GCF, the greater of the two is the LCM. This happens when one of the numbers is a factor of the other.

If one number is a factor of another number, the greatest common factor will be the lesser number. Example: 3 and 9 3 is a factor of 9 3 is a factor of 3 There can be no higher factor of a number than the number itself. Therefore, the GCF of 3 and 9 is 3.

When that number is a factor of the greater one.

The greater number becomes the least common multiple of the 2 numbers. Ex: 2 and 10. 2 is a factor of 10 and hence 10 is the LCM of 2 and 10

Only if that number is a factor of the other one.

Consider this:If A can be split into AB, where B is the lesser number (factor), then it can divide in. Thus, the GCF of the 2 numbers must be the lesser number, so that is true.

If it isn't, then it can't be. The GCF of any two positive integers can never be greater than the lesser number.

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