I know that the CFS-C has a cutter, but i want to know if the CFS has an Cutter Because the price of both is the same.
No. The regular CFS and CFS lite do not have cutters. The cutters are in the print head for those printers.
They put the cutter in the CFS-C since the K1 series printhead doesn’t have a cutter in it. If it wasn’t in the CFS-C, you would have to replace the print head on the K1 series if you wanted to add multicolor.