In both cases Jesus speaks to the Church which is the communion of the disciples. Not to the individual disciples, and not to the entire human race.
It would really surprise me that the Catholic view is that the Great Commission is meant for all true believers, members of God's Church. In your system only a select few can lead with any authority, so the average disciple would not appear to be qualified to carry out the Great Commission. Do you say that the Great Commission is specifically directed to a group including you?
Th Great commission is given to the Church. As lay Catholic, I have a part in it.