10=2*5
Any number that doesn't have a factor of 2 or 5 is relatively prime to 10. e.g. 3, 7, 11, and 21 are all relatively prime to 10. 2, 5, 15, 16, and 20 are not relatively prime since they share a factor or 2 or 5 (or both, which means they share a factor of 10, e.g. 20).
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They are not relatively prime. To be relatively prime, the only common factor they could have would be the number 1. Both also have the number 3 as a common factor, so they are not relatively prime.
An easy way to find a number relatively prime to another number is to find a nearby prime number. For example, 53 is relatively prime with 50. The following pairs are relatively prime. 3, 50 19, 50 37, 50 49, 50 50, 69 50, 201 50, 341 Any number that is not divisible by 2 or 5 will be relatively prime to 50.
Since 13 is a prime number (i.e., 13 is the only factor of 13), any number that is not a multiple of 13 is relatively prime to it.
Infinitely many numbers are relatively prime to 37. Because 37 is a prime number, all other numbers are relatively prime to it.
15 is relatively prime.