Coprimes

Which of the following pairs of integers are coprime?

None of these options 24 and 28 21 and 22 26 and 56

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1 solution

Two numbers are coprime if the only factor common to them is 1 or -1.

26 26 a n d and 56 56

26 26 : : 1 , 2 , 13 , 26 1,2,13,26

56 56 : : 1 , 2 , 4 , 7 , 8 , 14 , 28 , 56 1,2,4,7,8,14,28,56

21 21 a n d and 22 22

21 21 : : 1 , 3 , 7 , 21 1,3,7,21

22 22 : : 1 , 2 , 11 , 22 1,2,11,22

24 24 a n d and 28 28

24 24 : : 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 1,2,3,4,6,8,12,24

28 28 : : 1 , 2 , 4 , 7 , 14 , 28 1,2,4,7,14,28

It shows that only 21 and 22 are coprimes because the only factors common to them is 1.

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