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Q: Can the greatest common factor of 24 and 40 be greater than 24?

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The Greatest Common Factor depends upon the numbers for which there are common factors and it is the greatest one of them; it can be greater than 18, for example the greatest common factor of 40 and 100 is 20. The greatest common factor must be one of the factors of each of the numbers. As the factors of each number cannot be greater than that number, the greatest common factor of a set of numbers cannot be greater than the least number. If this number is not greater than 18 then the greatest common factor of the numbers cannot be greater than 18. Even if the least number is greater than 18 it is possible that the greatest common factor of a set of numbers is still not greater than 18, for example the greatest common factor of 20, 30 and 50 is 10.

When they have a factor in common greater than one.

No. No number can have a factor greater than itself.

Never.

No, the greatest common factor is never greater than the smallest number. The greatest common factor is the largest integer that divides evenly into all of the numbers listed.

No.

No.

No, the greatest common factor cannot be larger than any of the numbers in the set.

7 squared and 11 squared have no common factor greater than 1.

no, then it would no longer be a factor of 9

The GCF of 18 and 36 cannot be greater than 18.

The greatest common factor of 2, 8, and 14 is 2. The greatest common factor of any set of numbers can't be greater than the smallest of the numbers.

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