Question Should I take the Pentium 4 Cooler?

FGK1536

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Apr 2, 2019
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Hello, my new processor, an Intel Core2Duo E8400, just arrived and I'd like to install it as fast as I can. But my previous processor, the Pentium 4 HT 631 has a D95263-001 cooler, which is bigger than the boxed cooler of the E8400(E33681-001). Should I clean the Pentium 4 cooler(because it wasn't cleaned the last 10 years and it's very dusty) and use it for the E8400? Thanks in advance.