2016 AMC 8 Problems/Problem 15

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