ChatGPT stores saved memories you can view under Settings → Personalization → Memory, but there is no one-click structured export. Moving them elsewhere means copying the text by hand — workable for a handful of entries, painful at scale.
In 2026 Claude added the ability to import a memory file in markdown, including from ChatGPT or Gemini exports. It is a useful one-time migration, but it is a snapshot rather than continuous sync.
The way to avoid this problem entirely is to keep memory in a layer that is portable by design. Alma exports your full memory and conversations to JSON or Markdown whenever you want, and includes a complete GDPR data export. Your memory stays yours, ready to move.