List local stale branches:

git branch -vv | grep 'gone' | awk '{print $1}'

List and delete local stale branches

git branch -vv | grep "gone" | awk '{print $1}' | xargs git branch --delete

You could even create an alias on your machine. Modify ~/.gitconfig (user level, not repo):

[alias]
    stale-local-branches = "!git branch -vv | grep 'gone' | awk '{print $1}'"
    delete-stale-local = "!git stale-local-branches | xargs git branch -D"

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Before running any of the two aliases, make sure you run git fetch --prune to sync origin branches deletion.

1. List state local branches:

git fetch --prune && stale-local-branches

2. Delete state local branches:

git fetch --prune && delete-stale-local