Yes, they are relatively prime.
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Numbers are relatively prime if the only factor they have in common is 1. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The factors of 49 are 1, 7, and 49. The only common factor is 1. Therefore, 48 and 49 are relatively prime. Also, any two numbers whose difference is 1 are always relatively prime.
No.
The numbers 15, 32, and 49 are relatively prime because their greatest common factor is 1.
Yes, 20 and 24 are relatively prime. The only factor they share is 1.
24 and 49 are relatively prime. Their only common factor is 1. All the other pairs have more than the number 1 as a common factor.