Can you use the same xbox 360 gamer tag on different consoles ?

Right now i have an xbox 360 at my dads house and have a profile/gamer tag and now im going to get one for my moms house. Can i still use the same/recover the gamer tag? Will it still have the gold membership that i have? Any additional details would be greatly appreciated! 10points for best answer!|||It takes around 5-10 minutes, click "recover gamer tag" you won't have your saved games, but you will have your membership and gamer score, avatar, picture. but not your theme, best way is just take your hard drive with you, the memory card is too small for most profiles.|||yea you can recover your gamertag for whatever 360 you want to use it on. all your games and your gold will still remain on it.