A Number N Divides Each Of 17 And 30 With The Same Remainder In Each Case. What Is The Largest Value N Can Have?

4 answers

Since 17 is prime, N=1
Oops. N=13
This is poop
Since we're finding the largest value of n, this means n is 13 and furthermore the largest value that n can have when it divides both 17 and 30 and obtains the same remainder is 13.