I'm sure of the current Ford F-350's but, the F-450/550 have a 3" receiver.
Most Diesel Rams (not 4500/5500) have a 2 1/2" receivers with a sleeve to reduce it to 2". The problem my friend has with his Dodge pickup is not the tow vehicle but, the receiver ball he sticks on it. Yes, it is a 2 5/16th ball but, the tube connecting it to the pickup is not rated the same as the ball! Like a chain, the weak link is where the problem is so, not necessarily the tow vehicle or trailer!
And yes, my solid 30K# ball receiver hitch for my 2" and 2 5/16" balls is not the weakest link but, they also cost more than the 2" receiver hitch with 2 5/16" ball from Walmart.