First, the meaning is different.
1, prestige n. prestige; fame
She enjoys high prestige among the masses.
She enjoys high prestige among the masses.
Reputation? Good reputation; Fame, fame, fame
This shop has a good recommendation for fair trade.
This shop enjoys a high reputation for fair trade.
Second, the lexical collocation is different.
1, reputation
National prestige; Reputation pricing
2. Reputation
Innocent reputation; Global repayment is world-famous.
Third, the usage is different.
1, prestige basically means "prestige" and is used as a noun.
This contract will affect our country's reputation in the world.
This contract will affect China's international reputation.
Fame basically means "fame" and is used as a noun.
This shop has a good recommendation for fair trade.
This shop enjoys a high reputation for fair trade.