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By definition, an even number has 2 as a factor. That means that any set of even numbers will have at least a common factor of 2. Since that common factor will also have 2 as a factor, it has to be even.

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8y ago
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6y ago

It is false.

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8y ago

True.

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8y ago

True.

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8y ago

True.

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7y ago

Yes.

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6y ago

False.

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6y ago

Yes.

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6y ago

Yes, it is.

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Q: Why is the statement of the GCF of any two even numbers is always even true?
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Related questions

Is if you like math then you like science an inverse?

In order to determine if this is an inverse, you need to share the original conditional statement. With a conditional statement, you have if p, then q. The inverse of such statement is if not p then not q. Conditional statement If you like math, then you like science. Inverse If you do not like math, then you do not like science. If the conditional statement is true, the inverse is not always true (which is why it is not used in proofs). For example: Conditional Statement If two numbers are odd, then their sum is even (always true) Inverse If two numbers are not odd, then their sum is not even (never true)


Is this true for any two even numbers?

It depends what the statement is.


The absolute value of numbers is always non-negative?

The statement is true.


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

True.


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

Yes, that is true.


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

Yes.


Is the sum of two even numbers always even true or false?

Yes, it is.


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

No


What statement about rational and irrational numbers is always true?

Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions


What is a true statement that combines a true conditional statement and its true converse?

always true


What is a true statement that combines a true conditional statement and is its true converse?

always true


The difference of two odd numbers is always odd true or false?

false. it is always even