I want to factory unlock my iphone 5s sprint/virgin phone? How can I do?

Ask the carrier it's locked to if they'll unlock it. Note that those unlocked by Sprint can't be used with a different USA carrier.

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There is no such thing as a Sprint/Virgin phone. It's either a Sprint phone, or a Virgin phone.

If it's a Sprint phone, and you are a Sprint customer in good standing, then contact Sprint. They can unlock it for use on non US carriers.

If it is not a Sprint phone or you do not meet Sprint's conditions for unlocking, or your intent is to use it on a different US carrier, you may as well sell it. Virgin in the US does not offer unlocking.