If you recall, it was impossible to earn Reputation with New Monarchy, Dead Orbit, or Future War Cult in the Beta; though these factions would sometimes give you Side Missions while in Explore mode (received through beacons), completing these missions only rewarded you with Vanguard reputation, and occasionally 100 Glimmer. Even playing in the Crucible did not earn you reputation; though the Control playlist was supposedly hosted by Dead Orbit, you did not earn any Dead Orbit reputation for playing it... only Crucible reputation. Will this have changed in the final game? Or do we earn faction rep by some other means? The unique faction weapons & armor are purchased with Crucible Marks, you think we'd at least be able to earn faction rep in the Crucible.
First you need level 20 character then you need a lot of glimmer, then you go to a faction shop and buy a bond (cape,cloth and a warlock thing), then you do quests and missions. That's it.
Isn't google an amazing feature? Seriously, you coulda saved yourself the time it took to write this and type in the search box "destiny faction information"
faction rep is earned by wearing faction versions of class items (aka the cloak, the hip cloth and the band) when doing so anything that would earn you crucible or vanguard rep instead earns you rep towards said faction.