# 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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