Powder-free Latex gloves undergo a process known as Chlorination which makes them less form-fitting so that you do not need to use powder to get them on and off easily. Latex gloves are also rinsed thoroughly and all powder residue and latex proteins are removed.
Powder-free gloves are harder to put on and remove, however, they are safer regarding certain allergens and contamination issues. Powder-free Latex gloves will be a bit more expensive and also offer less grip than powdered latex gloves.