Kill and Kill/Collect = 40 for Vanguard, 20 for your faction (It would take 63 of these type to level up one rank of Vanguard (after level 3) and 126 to level up your faction
All others = 50 for Vanguard, 25 for your faction (it would take 50 of these type to level up one rank of Vanguard (after level 3) and 100 to level up your faction.
Heroic = 120 for Vanguard, 60 for your Faction (it would take 21 to level up one rank of Vanguard (after level 3) and 42 to level up your faction
Nightfall = 500 ( would take 5 to level up 1 vanguard rank, 10 to level up your faction
Crucible: 90 (losing), 45 for your faction (would take 28 losses to level one rank, 56 for your faction)
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How much more do you get for a Crucible win then? This post also does not take into account that: - with Gunsmith weapons equipped for these activities (as appropriate to difficulty and enemy types) an extra chance at a 335 drop can be gained. - with good management of glimmer consumables, turning in glimmer relics and dismantling blues enough glimmer can be earnt to continuously purchase [b]weapon parts[/b] to trade to your faction (yes, weapon parts are most efficient GLIMMER purchase, heavy ammo is most efficient STRANGE COIN purchase) - a high number of strange coins can be earnt to be turned into heavy synths - reputation boosters exist. - bounties can be handed in WHIST IN ACTIVITY to gain boosted rep from a booster And so the REAL speed of levelling up factions is WAY faster than the base speed.