Splitting up Category Display for post

I’m trying to split up the display of the categories the current post is attached to. For example, if a post is in child categories of ‘Fruit’ and child categories of ‘Meat’, I’d like a two lists. One with all the ‘meat’ categories the post is in and the other with all the ‘fruit’ categories it’s in. I was using wp_list_categories and specifying childof=ID but that’s show all of the categories, not just the ones associated with the current post. Is there a way to do this with the_category?