It depends on your encryption settings.
- Encrypt synced passwords with your Google credentials: This is the default option. Your saved passwords are encrypted on Google's servers and protected with your Google Account credentials.
With this option, Google has access to your data.
- Encrypt all synced data with your own sync passphrase: Select this if you'd like to encrypt all the data you've chosen to sync. You can provide your own passphrase that will only be stored on your computer.
With this option, Google does not have access to your data, assuming they are being honest about what happens with your passphrase (what happens if you forget your passphrase makes it clear that they do not store it for your benefit), don't have some gaping hole (or backdoor) in their sync security, and your passphrase is secure enough to withstand a brute force attempt by Google (such a password is possible, but very atypical).
You can reduce the opportunity for Google to intercept your passwords by using an offline password manager like KeePass in conjunction with Chrome as your browser. You can remove the opportunity entirely by no longer using Google products (what if they really bundled a keylogger with Google Drive or Chrome? And with Gmail, password reset requests could be intercepted in one way or another, possibly resulting in Google accessing your accounts, even if your passwords are uncrackable).
With Firefox, the security of your data hinges on how secure your Firefox Account password is. If you choose a good password, it should be impossible for Mozilla or anyone to access your passwords. However, this makes the assumption that Mozilla is being honest about how the system works, and there's no gaping hole (or backdoor) in their security. You can add an additional measure of security by running your own private Sync server instead of using Mozilla's. Since Firefox is open source and Mozilla has a better track record regarding privacy than Google does, the likelihood of them trying to compromise your data seems far lower.
Choose your paranoia level as you like, and based on your needs. I wouldn't use anything Google for Snowden-level needs, but for ordinary-privacy needs, I'd go with a passphrase on Google Sync at a minimum (so that an attacker accessing your Google Account has another layer to get through before he has your passwords).
Also, note that all of this goes out the window if anyone manages to install a keylogger (maybe complemented by a screen scraper and mouse click recorder to combat on-screen keyboards) on your PC.
You haven't specified whether you're logging into your browser or not. If you're not signing into Chrome, then any settings, passwords, etc, are just saved locally, and not in the cloud. – ernie – 2014-05-14T17:15:20.890
5@ernie he uses Sync, so it's not all local – Tim S. – 2014-05-14T20:28:00.307
4Google knows everything. If Google isn't able to find something then it doesn't exist.. ;) – Sp0T – 2014-05-15T08:32:05.050