A method for producing a composition comprising conjugated linoleic acid in an amount of at least 55% by weight, comprises: (i) providing a liquid mixture comprising, as the free acids, from 50 to 95% by weight conjugated linoleic acid and at least 5% by weight of saturated C12-C22 fatty acids; (ii) cooling the liquid mixture to a temperature at which at least a part of the saturated C12-C22 fatty acids precipitate from the mixture as a solid; and (iii) separating the solid from the liquid, wherein the liquid obtained in (iii) comprises conjugated linoleic acid in an amount of at least 55% by weight.