No. They have a common factor, 13.
26 = 13 x 2
65 = 13 x 5
Numbers are relatively prime if they have no common factors other than 1, i.e. that they have no Prime number factors in common.
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It can be. 26 is relatively prime to 27. 26 is not relatively prime to 34.
No, they are not relatively prime.
Yes.
Yes.
Prime number of 13 is 13 Prime numbers of 26 are 2 and 13 Prime numbers of 65 are 5 and 13 LCM = 2*5*13 =130