Remington used a "Z" and Smith Corona used a "C". It was not only the A4's but the A3's as well. I have 2 Remington A3's with a Z prefix.
Just for clarification, (since the topic of this thread 1903a4 sniper rifles), Smith-Corona never made a 1903a4 rifle. The government contract for all 1903a4 sniper rifles went exclusively to Remington.