First of all let’s talk about “How to zip files?” and “How to open zip files on Mac?” using a native app.
The build-in OS X zip program is called Archive Utility and is hidden from your sight as it is considered to be a core service of the OS. You won’t be able to find it in the Applications directory. However, to open zip files or to zip files Mac users can seamlessly use this app with the help of Finder. As Apple allows it to access and use Archive Utility.
Find more info here