I am trying to identify this character.
That's Hank McCoy, Beast from the X-men. Before the blue fur.
From the Wikipedia article about the transformation:
Hank isolates a "hormonal extract" allowing anyone to become a mutant for a short period of time, and uses the mutagenic serum on himself to disguise his appearance while foiling an attempt to steal his research. He waits too long to reverse the process, leaving him permanently transformed. He grows grey fur, which later turns blue, all over his body and acquires pointed ears, elongated canine teeth, claws, the ability to run on walls and ceilings like a spider, enhanced senses, an accelerated healing factor, and a feral side he struggles to control.
Just for completeness, that corner-box image was first published in X-Factor #4 (February/May, 1986). As you can appreciate the X of the uniform was red and not white like the one shown in OP's question. I'm not able to determine who was the author of that drawing, probably Bob Layton (who were doing the interiors at that time) or Mike Zeck (who did some of the early covers)
In the full cover you can see the costume that Hank McCoy was wearing at that time.
The one depicted in his entry in the Official Handbook
Beast didn't wear a dark blue + white uniform ever. And at the time of publishing of MCP #86 (October, 1991), he has returned to the blue furry form, that you can see below in a scene taken from that MCP serial drawn by Rob Liefeld.