This comprehensive article examines the transformative impact of cloud computing and artificial intelligence on regulatory compliance and risk management in the financial services sector. It explores how financial institutions are embracing cloud technologies to enhance operational capabilities while navigating an increasingly complex regulatory landscape. The article details how AI-driven solutions are reshaping compliance frameworks through advanced machine learning for fraud detection, natural language processing for regulatory analysis, and enhanced anti-money laundering systems. The article analyzes architectural considerations and implementation strategies for AI-powered compliance frameworks, supported by real-world case studies that demonstrate significant improvements in efficiency and effectiveness. Furthermore, the article investigates emerging technologies poised to further transform regulatory compliance, including federated learning, explainable AI, quantum computing, and solutions for decentralized finance. By examining both the opportunities and challenges of AI-driven compliance, this research provides valuable insights for financial institutions seeking to optimize regulatory compliance while maintaining operational efficiency in cloud environments.