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# Is the greatest common factor of a pair of numbers ever greater than both numbers explain with an example?

Updated: 8/30/2023 Wiki User

8y ago

I can't give you an example of when that happens because that doesn't ever happen. The GCF of a pair of numbers can't be larger than the smaller number. Wiki User

8y ago   Wiki User

8y ago

No, it's never greater than the smallest number.   Wiki User

7y ago

There is none. The GCF is never larger than both numbers. The GCF is never larger than the smaller number.   Wiki User

5y ago

No, it's never greater than the lesser one.   Wiki User

5y ago

No, it cannot be.   Anonymous

Lvl 1
3y ago

Vidutshkcrsutd Dtkeo   Earn +20 pts
Q: Is the greatest common factor of a pair of numbers ever greater than both numbers explain with an example?
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No, square numbers greater than 1 have more than two factors.

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A number can't have a factor greater than itself, so the GCF of a pair of numbers can't ever be greater than the smaller number. The GCF of 9 and 18 is 9.

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There are infinitely many numbers: for example any number greater than 6, for example.

### Is the Greatest common factor of a pair of numbers even greater than both numbers?

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 it is.

### Is the LCM of a pair of numbers ever less than both numbers explain with an example?

The LCM is never less than the greatest number in the set. The LCM of 4 and 9 is 36.

12

No.

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All positive numbers are greater than negative numbers.

### Can the greatest common factor of positive numbers be greater than both numbers?

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