Take a look at this link – https://my.studiopress.com/documentation/snippets/entry-footer-html5/remove-entry-footer-markup/
This code should remove both the Categories and Tags from the bottom of your posts.
//* Remove the entry footer markup (requires HTML5 theme support)
remove_action( 'genesis_entry_footer', 'genesis_entry_footer_markup_open', 5 );
remove_action( 'genesis_entry_footer', 'genesis_entry_footer_markup_close', 15 );
Let me know if that works.
