^ A 2014 F150 is steel body, pre aluminum (started in 2015), so it damn sure weighs more than 4700 lbs. probably closer to 6000 depending on cab/bed/4x4 config. And the GVWR is probably just over 7000 lbs, the full 7800 "max payload" package is hard to get with a normal cab/options package.
My 157" wb (crew cab 6.5' bed) 2019 F150 on the other hand, is only ~5200 lbs with the aluminum body/bed. The Ford towing docs say I am rated to 10,700 with my 3.5 Ecoboost and the normal towing package (not max tow). But if you subtract the vehicle weight from the GCVWR, its nearly 11,000 lbs of towing capacity. Plenty for me.
BUT! As many others have mentioned, the most important thing to consider when towing heavy with a 1/2 ton truck, is the available PAYLOAD. If you want 10-12% of your bumper-pull trailer weight on the hitch, that is a majority of available payload for most 1/2 tons. Lots of guys buy a loaded up lariat, platinum, king ranch F150 and then are dissapointed to see they only have 1200-1400 lbs of payload. When being prudent with tongue weight, this means they cannot get anywhere close to full rated towing capacity if the truck is also loaded full of people and gear.