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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 GCF of 121 and 280 is 1.
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.