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

Updated: 8/30/2023 Wiki User

8y ago

Yes. 4 and 8 have a GCF of 4. 104 and 108 have a GCF of 4.

Any set of prime numbers has a GCF of 1, no matter how large or small they are. Wiki User

10y ago  Study guides

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## A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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3055 Reviews Wiki User

8y ago

No. 102 and 104 have a GCF of 2.

8 and 12 have a GCF of 4.   Wiki User

8y ago

Yes, the greatest common factor of a pair of numbers can equal one of the numbers if one of the numbers is a factor of the other.   Wiki User

8y ago

Yes, if one of the numbers is a factor of the other.   Wiki User

8y ago

Sure why not!   Wiki User

9y ago

No.   Earn +20 pts
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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Related questions

### 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.

### Is the least common multiple of two numbers always divisible by the greatest common factor of the two numbers?

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

Yes it is.

### 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.

### What are the math terms gcf and LCM?

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)

### Is the greatest common factor of two numbers always greater than 1?

No, a GCF is not always great than one. For example the GCF of 7 and 3 is 1.

### Does a pair of numbers each greater than 100 always have a greater greatest common denominator than a pair of numbers that are both less than 100?

No. Although the greatest common denominator of a pair of numbers is infinite, the size of the numbers doesn't affect the GCF as much as the difference between them. The GCF of 100 and 102 is 2. The GCf of 33 and 66 is 33.

No.

No.

### Is the greatest common factor of two different prime numbers always 1?

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

No, the lesser.

### Why is greater common factors greater than common factors?

In any list of distinct numbers, one will be greater than the others. In the list of common factors, one will be the greatest.