The prints are printed using dye base or pigment based inks on archival papers. Giclees are one of the finest reproduction methods available today. The depth of color far surpasses that of lithographs.
Lithographs use the same process as printing a magazine.
Lithographs are generally printed on paper made from a mix of rag and pulp. Also litho inks have dyes in them that are subject fading. When an lithograph is printed on a rag paper the colors are lifeless and dull because much of the ink is absorbed into the paper. A water color artist fights this when an opposite color will contaminate a color he is laying on his paper. To counter this problem printers may print on pulp made papers that have a coating.