Ahh ok.
8K are probably only some extra metadata somewhere.
Do a full dump of metadata from the two files:
exiftool /from_faststone.jpg > /from_faststone.txt
exiftool /from_embedded.jpg > /from_embedded.txt
and see what else there are in them.
For fun, you could open one of them in a photo editor and then add the other one as a second layer but invert the color it and set opacity to 50%. If they are pixel identical their totals should cancel each other out and you should end up with a 50% gray photo.