What is the largest number that, when dividing 1657 and 2037, leaves remainders of 6 and 5 respectively?

Explanation

To find the required number, subtract the remainders from the given numbers: 1657 - 6 = 1651 and 2037 - 5 = 2032. The greatest number that divides both 1651 and 2032 exactly is their highest common factor (HCF), which is 127.