Leviticus 7:8

“And the priest that offereth any man’s burnt offering, etc.] In which the flesh was wholly burnt, and nothing of it remained to requite the priest for his trouble, as in other offerings: even the priest shall have to himself the skin of the burnt offering, which he hath offered; in some cases the skin itself was burnt, and then he could have nothing, (see <030411>Leviticus 4:11,12) but in others the skin was reserved for the priest. There seems to be an emphasis upon the phrase “to himself”, and may signify, that though in other things other priests might partake with him, yet not in this; and so Maimonides f167 observes, that the skin was not given to every priest, but to him that offered…”

“the priest shall have to himself the skin of the burnt offering which he hath offered--All the flesh and the fat of the burnt offerings being consumed, nothing remained to the priest but the skin. It has been thought that this was a patriarchal usage, incorporated with the Mosaic law, and that the right of the sacrificer to the skin of the victim was transmitted from the example of Adam (see on Gen 3:21).”

“The skin of the burnt offering - It is most likely that the skins of the sin-offering and the trespass-offering also fell to the lot of the officiating priest. return to 'Top of Page'”

“even the priest: All the flesh of the burnt offerings being consumed upon the altar, as well as the fat, there could nothing fall to the share of the priest but the skin; which must have been very valuable, as they were used as mattresses ( Lev 15:17), or as carpets to sit upon in the day. They are still used for the same purpose by some of the inhabitants and dervishes of the East. Bishop Patrick remarks, that Adam himself offered the first sacrifice, and had the skin given him by God, to make garments for him and his wife; in conformity with which, the priests ever after had the skin of the whole burnt offerings for their portion. skin: Lev 1:6, Lev 4:11; Gen 3:21; Exo 29:14; Num 19:5; Rom…”