What are the greatest common divisors of the following pairs of integers?
(a) $2^2 \cdot 3^3 \cdot 5$ and $2^4 \cdot 3^5 \cdot 5^3$
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(b) $2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13$ and $5^{3} \cdot 7^{9} \cdot 11^{6} \cdot 17$
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(c) $2^2 \cdot 7$ and $5^3 \cdot 13$
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