Romans 3:20, 21, 22

Therefore no one will be declared righteous in God’s sight by the works of the law; rather, through the law we become conscious of our sin.

But now apart from the law the righteousness of God has been made known, to which the Law and the Prophets testify.

This righteousness is given through faith in Jesus Christ to all who believe. There is no difference between Jew and Gentile