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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.

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2015-09-02 18:30:32
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

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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2015-08-30 13:56:50

No, always odd.

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2017-09-15 12:31:16

Yes.

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2017-09-15 12:12:49

Yes, it is.

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Q: Is the GCF of any two even numbers is always even?
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Is the GCF of any two numbers always odd and why?

The GCF of any two odd numbers is always odd because odd numbers don't have any even factors. The GCF of any two even numbers is always even because even numbers are divisible by two and any common factors would have at least one two in common. The GCF of an even and an odd number is odd because odd numbers don't have any even factors.


Is the GCF of any two even numbers always even?

Yes.


The gcf of any two even numbers is always even?

That is correct.


Is it true the gcf of any two numbers always even and why?

No


Is it true that the gcf of any two even numbers is always even?

Yes.


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.


Is the gcf of any two even numbers is always even true or false?

True.


Is it true that the GCF of any two even numbers always even?

Yes.


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 reason why the GCF of any two even numbers is always even?

All even numbers have two as a factor. Since two will be a common factor of any set of even numbers, the GCF will also have two as a factor, making it even.


Is the gcf of any two even numbers is always even true?

Yes, that is true.


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

Yes, that's true.

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