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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