OPINION OF THE COURT
This is an appeal from the judgment of the district court following a jury trial convicting appellant Duhann Betancourt of the federal offense of possession of á firearm with an obliterated serial number, 18 U.S.C. § 922(k), and the territorial offense of possession of a sawed-off shotgun, 14 V.I.C. § 2253(b).1 The sole question on appeal is whether Betancourt is entitled to vacatur of one of the convictions on the ground that the two offenses are multiplicitous. Agreeing with the district court that they are not, we affirm.
*380I.
The facts underlying Betancourt's convictions are simple, and are set forth in the margin.2 Betancourt's argument that the offenses are multiplicitous, i.e., they proscribe the same conduct, and hence that conviction for both violates the Double Jeopardy Clause, requires us to consider the teachings of Blockburger v. United States, 284 U.S. 299, 76 L. Ed. 306, 52 S. Ct. 180 (1932). There the Supreme Court explained that if "the same act or transaction constitutes a violation of two distinct statutory provisions, the test to be applied to determine whether there are two offenses or only one, is whether each provision requires proof of a fact which the other does not." Id. at 304. Thus, we must consider whether each offense for which Betancourt was convicted requires proof of a fact that the other does not. The relevant statutes are set forth in the margin.3
The elements of a 18 U.S.C. § 922(k) possession offense are (1) knowing possession; (2) of a firearm with an obliterated serial *381number; (3) that traveled through interstate or foreign commerce. The elements of a 14 V.I.C. § 2253(b) conviction are (1) possession; (2) of a sawed-off shotgun (a weapon with a barrel length of less than twenty inches); (3) that the defendant was not authorized to possess. Cf. United States v. Xavier, 2 F.3d 1281, 1291 (3d Cir. 1993) (explaining elements of a § 2253(a) conviction, possession of a firearm). Betancourt contends that, in ultimate essence, the territorial offense penalizes possession of a firearm. Additionally, he submits that the fact that a sawed-off shotgun was the particular firearm involved simply enhances the penalty for conviction under that provision, but does not itself constitute an element of the offense. Under these circumstances, the argument continues, conviction under the territorial provision requires only proof of facts also required for conviction under the federal provision, and the territorial offense is thus a lesser-included offense of the federal offense.
We disagree. It is clear to us that each offense requires proof of facts that the other does not. Conviction under the federal provision requires proof that the firearm had an obliterated serial number and that it was transported in interstate commerce. Conviction under the territorial provision requires proof that the firearm was a sawed-off shotgun and that possession of that firearm was not authorized by law. On its face, § 2253(b) makes clear that possession of a sawed-off shotgun is an element of the offense, not just a penalty enhancement. Moreover, even if Betancourt correctly argues that proof that the firearm was a sawed-off shotgun serves as a penalty enhancement rather than as an element of the offense under the territorial statute, the government still must prove a fact that is not an element of the federal offense to secure a conviction under the territorial provision: unauthorized possession. Cf. Xavier, 2 F.3d at 1291 (unauthorized possession is an element of proving possession of afirearm under § 2253(a)).
Although the purpose of a criminal provision is not an articulated factor in the Blockburger analysis, we also note that the two provisions plainly are aimed at different conduct. The purpose of the federal offense is to prevent an underground black market in illegal firearms by punishing conduct that makes tracing such *382weapons difficult. The purpose of the territorial offense, by contrast, is to eradicate a specific type of firearm, a sawed-off shotgun, which the Virgin Islands legislature has apparently found particularly dangerous.
In short, while Betancourt's argument that the territorial offense in the final analysis punishes only possession may have a certain facial appeal, it cannot satisfy the Blockburger test. The judgment of the district court will be affirmed.