When 310 is divided by a two-digit positive integer K, the remainder is 37. What is the largest possible value of K?
\(310 \equiv 37 \pmod {K}\)
\(310-37 \equiv 273 \equiv 0 \pmod K\)
Factor of 273 : 1, 3, 7, 13, 21, 39, 91, 273
Largest possible two-digit positive integer K is 91
