Table tops also have bottoms. And finger marks, other smudges, and films adhere on both sides. Glass table tops show these clearly. So in cleaning a glass table top it’s important to be sure to do the bottom surface, not just the top.
And here’s a shout out to Needel’s Janitorial Supply in downtown St. Paul who sell the best glass cleaning cloth you have ever seen. (If you go there, ask for the yellow one!)