Grammar fix
run out of space
have no storage left
When a phone or device runs out of space, there is no storage left for more photos, apps or files.
collocationB1common
Hear it in context
Notice where the phrase sounds natural.
I can't take any more photos — my phone's run out of space again.
Delete a few old videos; you're always running out of space.
Fix the pattern
One small grammar move makes it sound right.
Don't say 'my phone is full of space' to mean it has none left — say 'it's run out of space' or 'it's full'.