Process for purifying 2,3,3,3-tetrafluoro-1-propene using a first composition comprising 2,3,3,3-tetrafluoro-1-propene, 3,3,3-trifluoropropene, trans-1,3,3,3-tetrafluoro-1-propene (1234ze-E) and optionally or not at least one compound chosen from the group consisting of chloromethane, 1,1-difluoroethane, chloropentafluoroethane, 1,1,1,2-tetrafluoroethane and trans-1,2,3,3,3-pentafluoropropene (1225ye-E), said process comprising the steps of: a) placing said first composition in contact with at least one organic extracting agent to form a second composition; b) extractive distillation of said second composition to form: i) a third composition comprising said organic extracting agent, 3,3,3-trifluoropropene, trans-1,3,3,3-tetrafluoro-1-propene (1234ze-E) and optionally or not at least one compound chosen from the group consisting of chloromethane, 1,1-difluoroethane, chloropentafluoroethane, 1,1,1,2-tetrafluoroethane and trans-1,2,3,3,3-pentafluoropropene (1225ye-E); and ii) a stream comprising 2,3,3,3-tetrafluoro-1-propene; c) recovery and separation of said third composition to form a stream comprising said organic extracting agent and a stream comprising 3,3,3-trifluoropropene, trans-1,3,3,3-tetrafluoro-1-propene (1234ze-E) and optionally or not at least one compound chosen from the group consisting of chloromethane, 1,1-difluoroethane, chloropentafluoroethane, 1,1,1,2-tetrafluoroethane and trans-1,2,3,3,3-pentafluoropropene (1225ye-E); preferably, the stream comprising said organic extracting agent is recycled into step a); characterized in that said organic extracting agent is chosen from the group consisting of acetaldehyde, methyl formate, 2-methoxy-1-propene, 1,2-epoxypropane, ethoxyethene, dimethoxymethane, 1-chloro-1,2,2-trifluoropropane, 3-chloro-1,1,1-trifluoropropane, ethanedial, 2-chloro-1,1,1,3-tetrafluoropropane, propanone, methyl acetate, 4-methoxy-2-methyl-2-butanethiol, difluorodiethylsilane, isobutanal, isopropyl formate, methylglyoxal, 2,3-dichloro-1,1,1-trifluoropropane, ethyl acetate, butanone, n-propyl formate, 1,3-dichloro-1,1,2-trifluoropropane, 1,1-dichloro-2,2,3-trifluoropropane, 1,2-dimethoxyethane, 1,3-dichloro-1,2,2-trifluoropropane, isopropyl acetate, diethyl sulfide, 1,3-dichloro-1,2,3-trifluoropropane, 2-methylbutanal, 2-allyloxyethanol, ethyl propionate, 1,2-dimethoxypropane, dioxane, 3-pentanone, 2-pentanone, trimethoxymethane, 1,3-dioxane, 3,3-dimethyl-2-butanone, pyridine, n-methylmorpholine, 4-methyl-2-pentanone, butyronitrile, 1-methoxy-2-propanol, diethyl carbonate, n-butyl acetate, 2-hexanone, 5-hexen-2-one, 2-methoxy-1-propanol, 1-ethoxy-2-propanol, hexanal, 2-(dimethylamino)ethanol, 2-methylpyrazine, 2-ethoxy-1-propanol, 1-methylpiperazine, n-ethylmorpholine, valeronitrile, 4-methyl-2-hexanone, 1-methoxy-2-acetoxypropane, 2,6-dimethylmorpholine, methyl hexanoate, 2-propoxyethanol and 1-propoxy-2-propanol. a) placing said first composition in contact with at least one organic extracting agent to form a second composition; b) extractive distillation of said second composition to form: i) a third composition comprising said organic extracting agent, 3,3,3-trifluoropropene, trans-1,3,3,3-tetrafluoro-1-propene (1234ze-E) and optionally or not at least one compound chosen from the group consisting of chloromethane, 1,1-difluoroethane, chloropentafluoroethane, 1,1,1,2-tetrafluoroethane and trans-1,2,3,3,3-pentafluoropropene (1225ye-E); and ii) a stream comprising 2,3,3,3-tetrafluoro-1-propene; i) a third composition comprising said organic extracting agent, 3,3,3-trifluoropropene, trans-1,3,3,3-tetrafluoro-1-propene (1234ze-E) and optionally or not at least one compound chosen from the group consisting of chloromethane, 1,1-difluoroethane, chloropentafluoroethane, 1,1,1,2-tetrafluoroethane and trans-1,2,3,3,3-pentafluoropropene (1225ye-E); and ii) a stream comprising 2,3,3,3-tetrafluoro-1-propene; c) recovery and separation of said third composition to form a stream comprising said organic extracting agent and a stream comprising 3,3,3-trifluoropropene, trans-1,3,3,3-tetrafluoro-1-propene (1234ze-E) and optionally or not at least one compound chosen from the group consisting of chloromethane, 1,1-difluoroethane, chloropentafluoroethane, 1,1,1,2-tetrafluoroethane and trans-1,2,3,3,3-pentafluoropropene (1225ye-E); preferably, the stream comprising said organic extracting agent is recycled into step a);