No
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Yes.
Yes, 143 and 63 are relatively prime because they have no prime factors in common.
No, they are not.
Composite numbers are numbers greater than 1 that have more than two factors. Relatively prime numbers are numbers that have no common factors other than 1. Therefore, to find 3-digit composite numbers that are relatively prime, we need to look for numbers that are composite and have no common factors. An example of such a pair of 3-digit composite numbers that are relatively prime would be 119 and 143.
137 139.