- To keep your Instagram photos from automatically showing up on your Facebook profile, head to the Instagram app. Go to your profile, tap the gear icon next to Edit Profile, and then scroll down to the Linked Accounts option under Settings. If every photo you share through Instagram is published on Facebook, you should see Facebook highlighted in blue with a checkmark next to it under Linked Accounts. After tapping this, hit the Unlink Facebook button and Unlink a second time when the app asks you to confirm your decision.
Once that’s taken care of, any new posts you share through Instagram will only be seen by your Instagram followers (unless your account is linked to Twitter or some other social media site, in which case you can follow the same steps above). To undo this action, just return to Linked Accounts and tap Facebook to join the two accounts again.
This is a smart way to limit your social media presence or curb potential damage if hackers ever access your Instagram. But if you’re looking to distance yourself from Facebook because of issues you have with the site itself, simply unlinking it from Instagram won’t cut it. Facebook owns Instagram, so any information you post to either profile goes to the same place. There are better ways to control how Facebook handles your personal data.
source:mentalfloss.com