What is the greatest prime factor of \(2^{10}\cdot 5^4-2^{13}\cdot 5^2+2^{14}?\)

[Gmat_mission]

What is the greatest prime factor of \(2^{10}\cdot 5^4-2^{13}\cdot 5^2+2^{14}?\)

(A) 2
(B) 3
(C) 7
(D) 11
(E) 13

[spoiler]OA=C[/spoiler]

Source: Manhattan GMAT