The Franklin Gothic fonts are not provided as part of any Adobe application software.
I believe they are bundled with Microsoft Office and if you reinstalled both Windows and Office, they should become accessible. If not, why not extract them from the backup(s) of your previous system. You did occasionally back up your systems, didn't you?
- Dov Isaacs, former Adobe Principal Scientist (April 30, 1990 - May 30, 2021)