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Q: Will a pair of numbers both more than 100 always have a greater Greatest common factor than a pair of numbers less than 100?

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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.

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.

Yes, the least common multiple of two numbers is always divisible by those numbers' greatest common factor.

No.

Yes it is.

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

When they have a factor in common greater than one.

No, the GCF is the lesser of the numbers.

The greatest common multiple of any set of integers is infinite.

GCF - Greatest Common Factor (GCF is always smaller or equal to at least one of the numbers) LCM - Least Common Multiple (LCM is always greater or equal to at least one of the numbers)

Yes, the greatest common factor of two different prime numbers is always 1

No.

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