88 can be devided by 2, 4, 8 and other numbers so it is not prime.
11 goes into 121 so it is also not prime.
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No, they are not relatively prime.
No, their common factors are 1 and 11. As 1 is not their only common factor, then they are not relatively prime.
The prime factor of 7 is 7. The prime factor of 121 is 11.
The factors of -121 are 1, -1, 11, -11, 121, -121 The prime factor is 11.
121 = 11 × 11