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The gcf of any two even numbers is always even true or false

2 Answers

1 vote

Final answer:

The gcf (greatest common factor) of any two even numbers is always even.

Step-by-step explanation:

The gcf (greatest common factor) of any two even numbers is always even. A common factor of two numbers is a number that divides both numbers evenly. Since even numbers are divisible by 2, any common factor of two even numbers will also be divisible by 2, making it even. Therefore, the statement 'The gcf of any two even numbers is always even' is true.

User Daniel Sixl
by
7.9k points
4 votes
The answer is:
true.

Explanation:
The GCF of two numbers is the largest number that divides evenly into both numbers. If both numbers are even, this means 2 will be part of the GCF, which will make the GCF even.
User Marklark
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9.3k points