NEED HELP!!!!

I have a Case 222 I believe it’s a 77, the splines on the I believe are hi/low gears are broke which was causing the rear wheel to lock up. I have the rear end completely torn off and can not find the gears anywhere. I did find a case 446 1978 I was wondering if the rear ends would swap out between the two? I found a rear end on eBay for 350.00 and the other tractor is 400.00 with a bad motor just need some guidance if anybody could help me. I’ve been researching trying to see if I could possibly do either the rear swap or a motor swap if I bought the other tractor. Thanks in advance for any help!! From Michigan.