The emergence of Generative Artificial Intelligence (GenAI) marks a transformative moment in educational technology, fundamentally reshaping teaching and learning methodologies. This comprehensive study examines the multifaceted impact of GenAI in education, analyzing its current applications, challenges, and future implications through a systematic review of recent literature and emerging practices. We explore how GenAI technologies enhance personalized learning, automate administrative tasks, foster creative problem-solving skills, and support inclusive education. The research particularly focuses on the intersection of learning analytics and AI, the evolution from algorithmic approaches to human-centered learning, and the development of sustainable AI integration in education. This paper also addresses critical concerns regarding ethical implementation, equity in access, and the evolving role of educators in an AI-enhanced educational landscape, while proposing frameworks for effective integration and future development.