It'd be more accurate to say that corn grows in many more places in North America than sugar cane. I was surprised to learn that vastly more pounds of sugar from cane is produced in the US (~32 million pounds a year) than corn syrup (~8 million pounds a year).
Cane sugar production runs about 4 million short tons, which is about 8 billion pounds. Beets add a similar, somewhat larger amount.
HFCS production is also on a similar scale, billions of pounds a year. But then 80% of corn goes to animal feed and ethanol production, so HFCS isn't the major end use.