1924 - it will be date code stamped on the barrel, see related links for information on the Remington Society of America.
Need the serial number to answer.
1931
1913
1919
1920
You cannot the serial number is required.
The serial number 4279990 is a partial serial number for this rifle. To determine the date the rifle was manufactured you need to provide a complete serial number that begins with letters.
Manufactured 1914
Manufactured 1909
Manufactured 1916
1920
In 1944 by Remington Rand