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7y ago

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Why is the gcf of any two even numbers always even?

All even numbers have two as a factor. Any two even numbers have (at the least) two as a common factor. That means the GCF of any two even numbers will have two as a factor. Any number that has two as a factor is even.


Why is the GCF of any odd numbers always odd?

The GCF of any set of odd numbers is odd because odd numbers don't have any even factors.


What is a pair of numbers to the gcf number 2?

Any consecutive even numbers have a GCF of 2.


Is the greatest common factor of any two odd numbers?

The GCF of any two odd numbers is also odd.


What is the greatest common factor of any two odd numbers?

This can't be determined. The GCF of 3 and 5 is 1. The GCF of 11 and 33 is 11. There's no rule that covers any and all odd numbers.


What is the gcf of any two distinct prime numbers?

The GCF is 1.


Is the GCF of any two even numbers is always even?

The GCF of any two odd numbers is always odd. The GCF of any two even numbers is always even. The GCF of an odd and an even number is always odd.


What is the gcf of all composite numbers under 100?

The GCF of all the composite numbers under 100 is 1. For e.g 4 & 9 are composite numbers & their GCF is 1, so if we take other composite numbers along with 4 & 9 the GCF will be 1.


What numbers have a prime gcf?

Any consecutive even numbers.


What two numbers have 1 as there gcf?

Prime and relatively prime numbers all have a GCF of 1.


What is the greatest common factor of 18 20 and 26?

The GCF of 18, 20, and 26 is 2. The GCF of a set of numbers can't be any larger than the smallest difference between the numbers. The smallest difference within this set of numbers is 2. Since all of the numbers in the set are even, 2 is the greatest common factor.


Is the gcf of all odd numbers always odd and is the gcf of all even numbers always even?

Yes and yes.