# What is the maximum?

Over all Primitive Pythagorean Triplet $$(a, b, c)$$, what is the largest integer value of $$x$$ such that x|$$ab({a}^{2}-{b}^{2})$$.

A Primitive Pythagorean Triplet is a Pythagorean Triplet $$a, b, c$$ such that a, b and c are coprime.

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