Question

Find the greatest prime number that will divide 12260 leaving remainder 17.
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Answer 1

12260-17=12243

that is dividable by 3,7,11,53

then greatest prime no. is 53

Answer 2

Answer:

53

Step-by-step explanation:

Find the greatest prime number that will divide 12260 leaving remainder 17.

Let say Greatest Prime number = P

P * N  + 17 = 12260

=> P * N = 12243

=> P * N  = 3 * 7 * 11 * 53

All the factors are prime numbers only

and the greatest Prime number =  53