For any integer n, What is HCF (22n + 7, 33n + 10) equal to?

HCF of (22n + 7, 33n + 10) is always 1.
lllustraction
For n = 1, HCF(29, 43) ⇒ HCF = 1
For n = 2, HCF(51, 76) ⇒ HCF = 1
For n = 3, HCF(73, 109) ⇒ HCF = 1