Matthew 28 is probably the most recited version of the Great Commission. I think this is probably because it emphasizes the goal of making disciples. Jesus explains that this is going to occur through the church and will include people from every tribe and every nation. Confidence is given to reader because Jesus says that the commission will prevail and that He will reach the unbeliever through our work. This is a simple directive telling us to evangelize and make disciples.
The passages in Luke, by contrast,