Find HCF of 3 3^333 + 1, 3 3^334 + 1?

3^{\({3}^{333 }\)} + 1, 3^{\({3}^{334}\)} + 1

⇒ 3^{\({3}^{333 }\)} 

Let:  3 ⇒ a , ^{\({3}^{333 }\)}- n  (assume keeping)

⇒ aⁿ + 1, aⁿ⁺¹ + 1

HCF = aⁿ + 1

HCF =3^{\({3}^{333 }\)} + 1