I like both of them. I think that anybody would be happy with either. I have a Mossberg 500 combination, that is, 2 barrels, one is 18.5 inches long for home defense and the other is 28 inches long for hunting.
One thing I have heard is- The Police in America favor the Remington but America's military uses tons of Mossbergs. I don't think that there is a lot of difference between them. I'll take either or both (if I get the chance).