So is your income before tax or after? Because if it's after tax, I would honestly just do this:
1) Contribute up to the max 18500 in your 401k by end of the year, and continue doing that forever.
2) Max out a Roth IRA if you can: 5500 by end of year
3) Max out an HSA if you're on an HSA eligible health plan: $3450
4) Then shovel every dollar into paying those loans. It would take you just a few months to be completely done. It's not financially optimal, but if you're in a living situation where you have hardly any bills, using your huge shovel of cash to pay off your debt will be awesome.
5) Save just enough to move out of the family home (I assume this is your scenario). You'll be better off for it living on your own, in most cases.