Luxon Vs. Kurzick

So Basically i have a small guild and we're trying to get more serious but... i dont really understand the difference between Luxon and Kurzick.... so if someone could clear that up for me it would be much appreciated. thanks

http://wiki.guildwars.com/wiki/Kurzick
http://wiki.guildwars.com/wiki/Luxon

basically you pick a side and fight for that side to gain control of different towns which give benefits to the "side"

There are more kurzicks than luxons in my opinion...not sure why...you fight by doing Alliance battles...and you gain "reputation" by gaining luxon/kurzick factions via certain types of PVE and alliance battles.
http://wiki.guildwars.com/wiki/Alliance_battle