Is the black apple cloth that comes with the macbook pro is ok clean Iphone and Mac screens?

I use it regularly to clean my rmbp screen, and I've noticed a small scratch on the black panel few days ago, I thought it might be because I've used tap water or it was there and I didn't notice it.

now I used it to clean a second hand Iphone I bought before putting a protective guard on, and after I cleaned it I noticed small scratches of which I'm clueless if they were there or not (the seller had it for about 3 years, could have had scratches and I didn't see them because the screen wasn't clean?).

Is the cloth microfiber and is it ok to clean screens with it?