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26 March, 07:03

Is the gcf of any two even numbers always even?

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Answers (2)
  1. 26 March, 08:31
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    Yes i believe so, the gcf of any two numbers is always even
  2. 26 March, 10:31
    0
    Yes

    the gcf can be found by factoring the 2 numbers and finding the factors common to both

    any even number can be represented as 2n where n is an integer

    so 2 even numbers are 2n and 2m

    their factored form will be 2*n and 2*m, currently, their greatest common factor is 2*c where c is the gcf of n and m

    and the gcf has to be an integer so c is an integer and therfor the gcf of 2n and 2m is even because it is 2c

    yes, it is always even
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