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Despite the vital function of Engineering and Computer Science (Eng & CS) to innovation and economic development, retention within these programs remains a major challenge in the U.S. educational system. This study identifies and compares the factors and demographic variables predicting retention at two critical timepoints: from the first to the third year and from the third year to completion within six years. Using random forest analyses on data from the BPS 12/17 survey, high school academic preparation emerged as the most important predictor of both periods’ retention. Psychological factors are crucial in early stages, while a more diverse and career-oriented set of factors gain importance later. The study advocates for stage-wise interventions and emphasizes the importance of peer support.