2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135149We show asymptotic upper and lower bounds for the greatest common divisor of N and $σ(N)$. We also show that there are infinitely many integers N with fairly large g.c.d. of N and $σ(N)$.10 pagesNumber Theory11A05, 11A25text