A serial number is printed on the receiver of each Remington rifle or shotgun, provided it's a newer model. Serial numbers were not a requirement until 1968, so older firearms may not have serial numbers. You can still use the two-letter code on the barrel of the rifle or shotgun to look up the firearm's age. What is the value of a Remington model 17 serial number 43748 20 gauge.The Remington mo..