2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220266This paper addresses new results on the factorization of the general Heun's operator, extending the investigations performed in previous works [{\it Applied Mathematics and Computation} {\bf 141} (2003), 177 - 184 and {\bf 189} (2007), 816 - 820]. Both generalized Heun and generalized Lamé equations are considered.Mathematical Physicstext