Can I upgrade my windows 7 32 bit with OEM product key to a 64 bit?

Since you own an OEM version of a 32-bit version of Windows 7, your license key will not function on a 64-bit version of Windows 7. You will require either another OEM license key which is suitable for a 64-bit version of Windows 7, or you will need to purchase a retail version of Windows 7, which includes the installation media and license key for both the 32-bit as well as the 64-bit version of Windows 7. Unlike what Paul wrote, you cannot upgrade from a 32-bit version to a 64-bit version.

You will need to reinstall your computer.

Be sure your mother board can support 64 bit over 32 bit. I would bet your system is new enough to be safe but some systems are only 32 bit, not 64 bit.

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