I need to restore my Apple ipad to factory settings. Will this erase my icloud photos from my laptop?

No, it will not erase your data from iCloud, but be sure to take note of the following:

"You shouldn't manually delete your contacts, calendars, reminders, documents, photos, or any other iCloud information while you're signed in to iCloud with your Apple ID. This would delete your content from the iCloud servers and any of your devices signed in to iCloud." (from: What to do before you sell, give away, or trade in your iPhone, iPad, or iPod touch - Apple Support).

No it won't delete anything from your laptop, providing all you do is a restore.