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Khaleesi is coming to Westeros!!!
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Before aggressively paying down federal loans, remember their unique benefits: potential for income-driven repayment (IDR) plans, forbearance/deferment options if you face financial hardship, and (however unlikely now) potential future loan forgiveness programs. Weigh the value of these protections against the interest savings. Paying off private loans aggressively is generally a less risky proposition.
Mathematically optimal for minimizing total interest paid is definitely the avalanche method. It’s generally recommended if you can stay motivated. However, if you work better with psychological boosts and small wins, I would suggest the snowball method.