Both CRC and hash methods can be used to verify the integrity of the original data. Why do most systems uses hash method nowadays?
Difference between CRC and hash method (MD5, SHA1)
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CRC was designed to prevent transmission errors, not malicious action.
Therefore, it isn't collision resistant.
In particular, the linear properties of CRC codes even allow an attacker to modify a message in such a way as to leave the check value unchanged