The answer can be complicated as there is lots of inconsistencies within the actual comics, with flash backs, and various writer stories that have time stamps which may contradict each other. Another thing that complicates estimating these particular characters ages, is the Ragnarok cycle. So would one wish to know the current cycles Thor's age, or the age of the being that might be Thor though out history? Its supposed that one Ragnarok's destruction of Asgard was what caused the "Star of Bethlehem" yes that star, which would time stamp that Ragnarok at 2000 years but its also supposed that Earth just got that signal, 2000 years later, and that the last Asgardian Ragnarok cycle was actually 4000 years ago, and that does roughly fit in with a lot of stories use of Thor and Warriors Three in flashbacks. The creation of one version of Thor's hammer is also said to be the event which killed the dinosaurs, which would make Thor a lot older. Then again the actual Asgardian's often admit that they are so old that often their own understandings of their age and origins bleed together subjectively. So who knows, they may just be remembering events from previous incarnations.
As a rough guide I will say modern day Thor can be viewed to be around 4000 years old. Unlike the myth Thor, Thor's mother is an elder god. Its arguable that he may therefore be a different type of immortal to most Asgardians. Another factor is traditionally Asgardians are viewed as cyclical, so assuming if Thor ever took over from Odin, Ragnarok cycle would start things over again. Buri, Bor, Odin, Thor, Magni, Buri, Bor, Jimi Hendrix, Mufasa, Thor, Buri, Bor, Thor etc BUT... in recent times supposedly that has al changed, when Thor acquired the Sword of Greyskull (lots of power) and broke the Ragnarok cycle freeing Asgardian's from... immortality uh... oh wait, giving them more freedom over their own fate.
Hope this rambling helps somewhat. Many Asgardian's where invoked in the Hyborean age which is like 10 000 years back and older. Whether that's current Thor or one of the past Thor's only Thor knows and he is contractually obligated by Marvel movie execs to not be candid about those days.
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