Probably very much.

Find out at https://panopticlick.eff.org

A good setup is Tor Browser with NoScript activated or the equivalent settings. One in 6905 browsers having the same fingerprint.

To emulate the settings in Firefox:

Type about:config
Search for general.user.agent.override
If it's not there, right-click the page and create a New > String
Name: general.user.agent.override
Value: Mozilla/5.0 (Windows NT 6.1; rv:31.0) Gecko/20100101 Firefox/31.0

Set distribution.searchplugins.defaultLocale to en-us (case sensitive)
Set general.useragent.locale to en-us (case sensitive)
Set intl.accept_languages to en-us, en (case sensitive)

Make sure network.http.accept.default is set to text/html,application/xhtml+xml,application/xml;q=0.9,*/*;q=0.8

In Preferences > Privacy > History
Accept cookies (third-party cookies not required)
Always use private browsing mode suggested.

If you find a less unique configuration, let me know.