A number theory problem by Ralph Macarasig

A=2017406402017B=2017405442017 \Large A =2017^{40^{640}} - 2017 \qquad \qquad B = 2017^{40^{544}} - 2017

The greatest common divisor of AA and BB can be expressed in the form 2017xy2017\large 2017^{x^{y}} - 2017, where xx and yy are integers.

Submit your answer as xy\overline{xy}, which is the concatenation of the digits of xx and yy. For example, if x=10x = 10 and y=12y = 12, then xy=1012\overline{xy} = 1012.

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