If you are seeing errors 8007f0f4 or FFFFFFFF with Windows Update then you may want to read our latest article as you may have malicious software on your PC
“If you receive Windows update error 8007f0f4 or FFFFFFFF, it means that an important security update can’t be installed because of a problem on your computer.
The problem is usually caused by a malicious software infection on your computer. To prevent the computer from becoming unstable, Windows won’t install the update.
We recommend that you remove the malicious software on your computer, and then install the important security update.
For information about detecting and removing malicious software, see this article on the Microsoft website.”
If you want to understand more about security and safe computing then try http://windows.microsoft.com/en-GB/windows7/Understanding-security-and-safe-computing