What is the value of n when 34041 and 32506 are divided by a 3-digit number n, leave the same remainder?

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Prime numbers are only divisible by one and by the number itself. When prime numbers are divided by numerals other than one or its exact positive divisor, its product has a remainder or exists as a fraction.


What is the value of n when 34041 and 32506 are divided by a 3-digit number n, leave the same remainder?