= 3^4 \cdot 5^2

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• $ 108 = 2^2 \cdot 3^3 $
• $ 180 = 2^2 \cdot 3^2 \cdot 5 $
• $ 2^2 $ and $ 3^2 $
• = 144 \cdot 10 = (12^2) \cdot 2 \cdot 5 = (2^4 \cdot 3^2) \cdot 2 \cdot 5 = 2^5 \cdot 3^2 \cdot 5
• $ 1 \equiv 1 \pmod{4} $
• $ 3 \equiv 3 \pmod{4} $

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