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Is the greatest common factor (GCF) of two even numbers always even?

A) Yes
B) No

asked
User Blazehub
by
7.9k points

1 Answer

5 votes

Final answer:

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

Step-by-step explanation:

The greatest common factor (GCF) of two even numbers is always even. This is because the GCF is the largest number that divides evenly into both numbers. Since both numbers are even, they can be written as 2 multiplied by another number. Therefore, the GCF will also be a multiple of 2 and hence even.

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