Identical twins in inverse order

Number Theory Level pending

Let \(a\) and \(b\) and 2 positive integers such that their product is 4032, and if we reverse the digits of \(a\), we obtain the number \(b\).

Given that the greatest common divisor of \(a\) and \(b\) is a factor of the difference \(a-b\), find the maximum possible value of between these 2 numbers, \(a\) and \(b\).

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