2016 AMC 8 Problems/Problem 15

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15. What is the largest power of $2$ that is a divisor of $13^4 - 11^4$? $(A)\mbox{ }8\mbox{           }(B)\mbox{ }16\mbox{           }(C)\mbox{ }32\mbox{           }(D)\mbox{ }64\mbox{           }(E)\mbox{ }128\mbox{           }$

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