2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64056We prove that for integers a>b>c>0, the greatest prime factor of (ab+1)(ac+1) tends to infinity with a.4 pages, TeX, to appear in Proceedings AMSNumber Theory11J25On the greatest prime factor of (ab+1)(ac+1)text