Continuity mistake: In the opening scenes the gang thieves are working on his car with air tools, which require a compressor and air line. When Logan gets out of his car the thieves are using tire irons instead. (01:07:00 - 01:37:00)
Continuity mistake: When Pierce first begins to interrogate Caliban in the safe house in Mexico, a large portion of Caliban's albino makeup is smudged below his nose, revealing the actor's natural skin in his first close-up of the scene; after switching to a close-up of Pierce, then back to Caliban, the smudge has been fixed.
Continuity mistake: When Logan shoots Dr Rice at the start of the final fight, the shot changes to Logan and shows him firing a gun using his right hand. The shot changes to Pierce being shot, then to a wide shot showing all three men. The gun is now suddenly in Logan's left hand.
Continuity mistake: Before crashing the limo into the fence, there are two bullet holes in the rear windscreen. Afterwards, there are five. Then from an inside shot as they start backing up, there are only two again.
Continuity mistake: When Pierce is in the limousine, he pulls out a business card, and holds it out to Logan, who doesn't take it. In one shot, Pierce holds it with the writing facing himself, but in the next shot, it's upside down with the writing facing Logan, and you look closely, it only has print on one side.
Continuity mistake: Logan tries to give the Professor an injection, who pushes him away and falls over. As he falls back his left sleeve is still rolled up - the shot cuts and it's instantly right down to his wrist.
Continuity mistake: After Logan leaves the clinic and is walking with Laura on the street, just before they get in the truck the sun changes between shots.
Continuity mistake: After Pierce hooks Laura in the chest, she got some blood on the blouse and a hole, later in the convenience store she has the blood on it but the hole is gone.
Answer: X-24's healing factor is much weaker and slower than Logan's, and Dr Rice has to give him the serum to heal his injuries at the farm, so presumably he couldn't heal fast enough to survive the shot. It may also have been a different bullet type - the one in Wolverine didn't do nearly as much damage on impact. Makes sense that Wolverine would have possibly designed one to overcome any healing factor.