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The GCF of any two numbers is also a factor of their difference. The difference between consecutive numbers is 1 so their GCF must also be a factor of 1.

The only factor of 1 is 1 - and hence the result.

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Q: Will two consecutive numbers ever have a greatest common factor greater than 1?
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Related questions

What numbers have 2 as their greatest common factor?

Consecutive even numbers.


What numbers have a greatest common factor of 2?

Consecutive even numbers.


What kind of numbers have a greatest common factor of 2?

Consecutive even numbers


The greatest common factor of two numbers is 2 what are the two numbers?

Consecutive even numbers.


What is the greatest common factor of two consecutive numbers?

The GCF of two consecutive numbers is always 1. The GCF of any set of numbers can't be greater than the smallest of the differences between the numbers.


What is the greatest common factor of 5 and 4?

The greatest common factor of 4 and 5 is 1. The GCF of any consecutive integers is 1.


Which pare of numbers has a greatest common factor of 2?

Any consecutive even numbers.


What pair Of numbers have a greatest common factor of 2?

Any consecutive even numbers.


It is 2 is the greatest common factor?

Consecutive even numbers have a GCF of 2.


Can a pair of numbers greater than 100 have the same greatest common factor as a pair of numbers under 100 other than 1?

Yes. Any set of consecutive even numbers has a GCF of 2.


What is the greatest common factor of 500 and 502?

Greatest common factor(GCF) of two consecutive even numbers is 2. Here 500 and 502 are consecutive even numbers so, their GCF is 2.


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.