Tom Buchanan and Jay Gatsby both love Daisy Buchanan and want her to be with them, but they differ significantly in their backgrounds, personalities, and how they pursue her. Tom comes from old money while Gatsby came from poverty and made his fortune through questionable means like bootlegging. Tom uses his wealth and status to keep Daisy, while the kind but unrealistic Gatsby strives to recreate the past. Their rivalry over Daisy culminates in an argument and Gatsby's eventual murder, highlighting how their differences led to tragic consequences.