I'm going nuts with this. I love my silicone baking mats, except that they are SO hard to get clean. After they are washed and dried, they have a film of grease on them. I am not talking about the natural, slick-sticky feel of the silicone; I mean a film of grease that is visible to the naked eye and feels greasy.
I use Dawn, which is the best dish degreaser I know of. Adding baking soda seems to help cut the grease and get the mats clean, but not always. Running them through the dishwasher doesn't help. Any ideas?