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Numbers called relatively prime or mutually prime have no common factors or divisors other than 1. Numbers having any common factors or divisors greater than 1 are not relatively or mutually prime.

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Q: What is the difference between relatively prime and not relatively prime?
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Is there a relatively prime of 285 and 75?

No, there is no common divisor between 285 and 75. Therefore, they are relatively prime.


Are the numbers 210 and 211 relatively prime?

Yes, 210 and 211 are relatively prime. Any numbers whose difference is 1 will only have 1 as a common factor, so they will be relatively prime.


What are all the composite numbers between 50 and 100 that are relatively prime?

A single number cannot be relatively prime. Any pair of numbers between 50 and 100 of which one is a prime will be relatively prime. There are 728 pairs of numbers that are relatively prime and I have neither the time nor patience to list them all!


How are 181345913 and 11 relatively prime?

Two numbers are relatively prime (co-prime) if they have no common factor other than 1; that is their highest common factor (hcf) is 1. If one of the numbers is prime, then the two are relatively prime if the prime is not a factor of the other. 11 is a prime. If 11 divides into 181345913, then their hcf is 11 and the two are NOT relatively prime. If 11 does not divide into 181345913 then their hcf is 1 and they are co-prime. A simple test for divisibility by 11: Sum of digits in odd position: 1+1+4+9+3 = 18 Sum of digits in even position: 8+3+5+1 = 17 Difference between the two sums = 18-17 = 1 If this difference is divisible by 11 then so is the original number. The difference is not so 11 is not a factor of 181345913 and the two numbers are relatively prime.


Is 17 relatively prime?

To be relatively prime requires another number, and the highest common factor between 17 and that number must be 1. 17 is relatively prime to all numbers which are not multiples of 17 (since 17 is a prime number).