Resolve Windows 10 related issues for your HP computers or printers by HP Windows 10 Support Center
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The Windows product key is embedded into the UEFI firmware of your laptop.
HP does not keep records of individual product keys associated with individual PCs. So, HP has no way of providing you the product key.
You can download and use this utility to retrieve the product key: http://www.tenforums.com/software-apps/2577-showkey.html
But ... if you try to use that product key to install any Windows version other than the HP OEM version, it will not work.
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