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Q: Is greatest common factor between two numbers ever bigger then both numbers?

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No, it is never bigger than the smaller one.

The greatest common factor between two numbers. There is no term.

210 and 217 is the pair of numbers between 200 and 300 that has the greatest common factor of 7

There is no "greatest common multiple" for any pair of numbers. If you meant greatest common factor, the answer is 3.

Two or more numbers are required to find the greatest common factor between them.

Two or more numbers are required in order to have a greatest common factor between them.

The greatest common denominator of any set of numbers is infinite.

Yes, greatest = largest.

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

The greatest common factor of 99 and 25 is 1. There are not other numbers that are common between them.

Two or more numbers are required to find the greatest common factor between them.

All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. The largest of these is known as the greatest common factor, or GCF.

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