Question

Error and mistake are the same for common in meaning but I think there is a difference

Answer 1

Error - is a grammar error, math error, bad formula etc.

Mistake - is a wrong way of doing something, wrong behavior, bad strategy.

:)

Answer 2

 The difference between  'error' and 'mistake' is in the context that they are used in. A 'mistake' is usually accidental, you know it is wrong. Otherwise, an 'error'  is usually made due to the lack of knowledge and is more formal than 'mistake'.

"Machines never make mistakes, but rather they make errors. People can make both."