Welcome to Android Central! Sorry to hear about your problems. You should be able to reinstall all of your apps relatively easily. If you installed them via Google Play, open the Play Store app, go to the menu, and select My Apps. Then tap the "All" tab and all apps that you ever installed on any of your Android devices should show up. You can then select the ones you want to reinstall from there.
If you installed your apps from the Amazon Appstore, first reinstall the Appstore by using the tablet's browser and going to amazon.com/amazonappstoreapp. Download the apk file for the Appstore and install it. (Make sure "Unknown Sources" is checked on under Settings/Security.) Now open the Appstore, go to the menu, select My Apps, then tap the Cloud tab. You should see all apps that you ever purchased or installed from Amazon, and you can reinstall them from there.
When you factory reset a device, all of the preinstalled apps will still be there (although they will have reverted to their original version--you can update them through Google Play). Your homescreens will probably be blank, but that doesn't mean the apps are gone. Bring up the App Drawer (the icon with the multiple dots), and you will see all of the apps currently installed. Then press and hold one of them and drag to a homescreen to create a shortcut.
You may have lost a decent amount of data from the factory reset, though. If you were syncing with Google, a lot of it should be backed up to the Google servers, and will be reloaded once you sync the device. But any photos you might have taken will be gone, unless you backed them up beforehand.