2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68044We give a short proof, based on symmetric function theory, of a formula due to Goupil and Schaeffer, counting the number of factorizations of a cycle of maximal length in the symmetric group, into the product of two permutations of given conjugacy classes.3 pages; in FrenchCombinatoricsGroup Theory05A15; 05E05; 20B30text