Re: Zipping Video Files!
Wa iyyakum.
The most efficient way to burn that data would be BluRay. Each BluRay disc can hold upto 25GB. But you have to have BluRay discs and a BluRay burner.
Otherwise, that compression solution should work nonetheless.
You can try compressing them into rar using winrar as well. But it will take time (depending on size of each file), and when it comes to burning you’d still face the same issue. The compression might save you a couple of disks. Hard to estimate without actually trying first. Plus i’m not sure how much smaller it will get after compressing 
Or
You can upload them onto an online storage service (they usually run $10-15/month for decent amount of space), and your friend can then download it at her end.
So many options…not enough time 