Find GCD(52,23⋅52)\text{GCD}(5^{2}, 2^{3} \cdot 5^{2})GCD(52,23⋅52).
2⋅3⋅52 \cdot 3 \cdot 52⋅3⋅5
525^{2}52
22⋅322^2 \cdot 3^222⋅32
111