Not interchangeable. Separate systems, even though both used Microsoft Accounts (MSA).
| Feature | Xbox Live (Xbox 360/One/Series) | Games for Windows Live (PC) |
|---|---|---|
| Account | Gamertag (linked to MSA) | GFWL Profile (linked to MSA) |
| Achievements | Unified (Xbox) | Separate GFWL list (1000 GS max) |
| Friends / Chat | Xbox Network | GFWL Client / Xbox.com (limited) |
| Multiplayer | Xbox Live Gold | Free (Silver) |
| Marketplace | Xbox Store | GFWL Marketplace (dead) |
| Status | Active | **Discontinued Aug 2013** (client), **Jul 2014** (marketplace) |
Modern solution: Buy Steam/GOG version (GFWL removed) or use XLiveLess mod.