I'd say Wayne has made more of both, so taking the good and neglecting the bad, I'd give to nod to Wayne.

Yes, but John Wayne just made so may movies.  Well over 300.
There's bound to be a vast difference in quality.
Although Eastwood has been very prolific too, I doubt he has made as many movies as John Wayne.
In fact, I would hazard a guess that no actor has made as many movies as John Wayne.
John Wayne had his first big break in the 1930 movie the Big Trail although he made several movies before that,
but it was another 9 years before he beacme a household name and a major star
with Stagecoach in 1939, and there were a lot of B grade movies in between.