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Our work is entitled "Giant magnetoresistance induced by spin-dependent orbital cou-pling in Fe3GeTe2/graphene heterostructures" in which, by stacking a van der Waals ferromagnet Fe3GeTe2 (FGT) on top of graphene to form an FGT/Gr heterostructure, we demonstrate a positive MR of up to ~ 9400% under a magnetic field of 9 T at room temperature (RT), which is more than one order of magnitude enhancement of MR as compared to pure graphene and sets a record in modified graphene systems reported so far. More strikingly, the giant MR of the FGT/Gr heterostructure sustains over a wide temperature range from RT down to 4 K, with suppressed quantum oscillations. Both control experiments and DFT calculations show that the enhanced MR is originated from spin-dependent orbital coupling between FGT and graphene, which is temperature insensitive. Our results open a new route for realizing high-sensitivity and wide-temperature-range MR sensors.