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What two numbers are common factor of all even number?

Updated: 8/17/2019
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11y ago

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1 and 2.

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Q: What two numbers are common factor of all even number?
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Can two odd numbers have a greatest common factor that is an even number?

No. Because both numbers are even, they each have 2 as a factor. Even if they have a larger factor in common, it will be a multiple of 2, so the greatest common factor will be an even number.Yes. Two even numbers are each divisible by 2. The GCF must therefore always have two as one of its factors; this makes it even.


Is the greatest common factor an odd number and even number is always even?

No. Odd numbers only have odd factors. They could not have an even factor in common.


Why is the greatest common factor of two even numbers always even?

Even numbers, by definition, are divisible by 2. That means that every even number has at least one 2 as a factor. If every even number has one, then any set of even numbers will have at least one 2 as a common factor. Since that number has two as a factor, it's even.


Is the greatest common factor of an odd number in even numbers always even?

No.


Why is the gcf of any even number always even?

By definition, every even number has 2 as a factor. That means that every set of even numbers will have at least 2 as a common factor. The GCF might be higher, but if it has 2 as a factor, it's even.


Can two even numbers have greatest common factor of 1?

No. Every even number has a factor of 2. So any two even numbers share 2 as a factor. So the greatest common factor has to be at least 2.


Is 4 a relatively prime number?

Relatively Prime numbers are sets of two or more numbers having 1 as their greatest common factor (gcf). All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number.


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.


What is a relatively prime?

Relatively Prime numbers are sets of two or more numbers having 1 as their greatest common factor (gcf). All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number.


Is the greatest common factor of any two odd numbers always odd?

Yes.Yes.2 can never be a factor of an odd number and because of that it can't be a common factor of any number pair where at least one of numbers is odd.


What is a relatively prime numbers for 10?

There is no relatively prime number for 10. Relatively Prime numbers are sets of two or more numbers having 1 as their greatest common factor (gcf). All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number.


Is 18 relatively prime?

Relatively Prime numbers are sets of two or more numbers having 1 as their greatest common factor (gcf). All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number.