1. A printing system in which an image sensing apparatus and a printing apparatus directly communicate with each other, and said printing apparatus prints an image transmitted from the image sensing apparatus, wherein said image sensing apparatus comprises: a first reception unit configured to receive function information of the printing apparatus from the printing apparatus, wherein the function information describes the kind of feature amount data which the printing apparatus can use in correction processing for the image to be printed; an extraction unit configured to analyze image data of an image file to be printed and extract from the image data a feature amount corresponding to the kind of feature amount data described in the function information received by said first reception unit; a generation unit configured to generate a data file which is a file independent from the image file and describes the feature amount extracted by said extraction unit, where the kind of the feature amount is determined in accordance with the function information received by said first reception unit; and a first transmission unit configured to transmit files of the data file generated by said generation unit and the image file to said printing apparatus; said printing apparatus comprises: a second transmission unit configured to transmit the function information of said printing apparatus from said printing apparatus to said image sensing apparatus; a second reception unit configured to receive the files of the data file and the image file transmitted by said first transmission unit; a correction unit configured to correct the image data of the image file received by said second reception unit on the basis of the received data file; and a printing unit configured to print the image in accordance with the image data corrected by said correction unit, wherein the data file is transmitted from said image sensing apparatus to said printing apparatus before the image file is transmitted from said image sensing apparatus to said printing apparatus.