Someone gave me this answer which worked. There are probably
a couple of ways to approach this task. Thank you!
<cffile action="read" file="YourFile1"
variable="file1">
<cffile action="read" file="YourFile2"
variable="file2">
<cfset newfile = file1& file2>
<cffile action="write" addnewline="yes" file="myNewfile"
output="#newfile#">