Shotgun compared to 270. win and 30-06?

I was shooting a shotgun today. I was shooting feild loads so it wasn't a lot of kick i felt nothing. Now im a big 15 year old. Im about 5"9 and weight between 150-180 pounds. A feildload in a shotgun feels like nothing to me. I have shot, 22LR, 22-250, 243, 223, 30-30, and 12 guage shotguns. The feild loads is around 16-19 ft-LBS compared to a 270.win and a 30-06? My dad has a 270. win and his hunting partner has a 30-06 and next week we are sighting them in and i want to know how much more will the recoil feel compared to the shotgun??