Deadpool and Wolverine

They aren't.

The only thing that is different about the two is Wolverine has the claws and the metal skeleton.

OHHH GOOOD FOR YOU!!

They're both have the same healing abilities, but they got them different ways though I think

Don't listen to the guys above me. Deadpool and Wolverine's healing factors are different. Deadpool is immortal, while Wolverine is not. He can very well die. Wolverine is just very hard to kill and ages very slowly.

As far as I know, they're pretty much the same. Only Wolverine's were from a natural mutation while Deadpool's weren't.
https://www.youtube.com/watch?v=mZuqdaO0Sgg

I don't know about the movies. But in the comics, there's absolutely no one who can surpass Wolverine's healing abilities. His is the absolute best, bar none. Exceptions would be characters such as The Hulk, because that's not a natural mutation: it's gamma radiation (so there's no delay in healing, the gamma radiation either prevents foreign threats from entering or harming the body, or it neutralizes absorbed body threats immediately).

In Deadpool's case, he, along with Wolverine, Sabretooth, Maverick, Specter and others, were part of the Weapon X experiment (though at that point in time Deadpool was under the belief it was a Department K operation, whereas in reality the Weapon X program was a joint Canadian/US superhuman enhancement projec). During which Deadpool's cancer was temporarily arrested via the implantation of a healing factor derived from Wolverine's -- you read that correctly: they more or less isolated Wolverine's healing 'X' gene and put a version of it in Deadpool. Through extensive testing, the project's scientists (especially the Professor, also called Andre, and Cornelius) found out Wolverine had the best healing abilities among all candidates, which is also the reason why Logan's the one who underwent the adamantium bonding process, since his body could best take the punishment (of course by now the adamantium is no longer alpha, but a beta version due to the symbiosis with Wolverine's healing cells, but that's another story).

So Deadpool's healing abilities were at first derived from Wolverine's. He had them upgraded later on by a revamped Weapon X program (which is the reason why he could come back to life at one point when he died); the bottom line being, his and Wolverine's healing abilities aren't exactly the same, as their mutations aren't the same, and seeing as Deadpool had to upgrade his abilities once. Wolverine alone has the ability to heal the way he does. And his healing properties have long been established in the Marvel universe as being #1. Since the movies aren't, and don't follow, exactly Marvel canon, and given that they aren't even Marvel's, but Fox's, then they may find a different explanation for it. The movies maintain only a faint resemblance to the original stories in the comics. But in the comics they definitely aren't the same. And yes, contrary to some opinions on this forum, Deadpool can, in fact, die. He is not immortal.

You have the comic answer already so I'll stick to the films:

Wolverine is likely slightly ahead of Deadpool in the films based on a few things:

Surviving the procedure to get the Adamantium bonded to his bones: Though this was in part due to Logan's will to live he's also shown to be the one most physically capable of it. XOW has so many bad parts people tend to forget the good. In the film, the reason he's chosen over Victor isn't just that Logan has a higher healing factor (the two are likely very close in that regard) - it's more about the fact that they can get Logan motivated enough to endure it by convincing him he need to find Victor and get revenge etc.

Living with the Adamantium: A key distinction that's sometimes overlooked as well. Our own bones are what keep us alive, not just as a framework but the marrow. Logan's marrow is essentially cut off by the Adamantium and essentially nerfs his healing factor. Even with that, we see in the films that his healing factor is pretty much as good or better than what we see Deadpool survive. In X3 Logan survives being disintegrated by Phoenix (though this was at least in part because Jean was resisting). This despite the Adamantium holding back his healing factor. Though of course the Adamantium also protects his bones and the marrow so it's helping in a way as well.

Deadpool survives being burned alive in a fire that reduces everything around him to ash. So it's likely that his own body was burned to a husk and he regenerated from next to nothing. We don't know exactly how close to "nothing" he got since his healing factor could have kept him mostly intact and only fully healed when the fire went out. Or he could have literally been down to a spinal column or something. As impressive as that is, it still doesn't match Logan surviving the nuclear bomb at Hiroshima.

And yes, as mentioned with respect to the comics, in XOW Deadpool essentially gets Logan's healing factor given to him. So there is likely to be some reduction there as it's a copy of Logan's power in a way. In the new timeline, they present it as a latent power Wade had all along (which leads to theories about how he might be much older than he looks or how XOW Wade could survive the procedure anyway). So in either case it's at least partly Wade's own power which means they could be close. XOW version lost his head and survived (mostly for comedic effect and to try and set up a sequel or spin-off, but nonetheless). Something even Logan isn't sure he could survive.

With Logan having the Adamantium in most of the films, we may never see what would happen if he lost a hand (like Deadpool re-growing one in what appears to be a few days). Though he has re-grown his claws (XOW and The Wolverine) and regenerated skin very fast. Deadpool's iconic appearance probably won't show us a comparable to skin regeneration. So a 1:1 "race" between the two may never develop.

So that aggregates to Deadpool being very, very close to Logan though likely a half step behind. Unless there's ever new evidence of course.

Reading my signature constitutes admission that I am correct. (Too late)

Wolverine>Deadpool>Hugh Glass