The greatest $2$ -digit prime number is ______.

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Solution

Finding the greatest $2$ - digit prime number:
The greatest $2$ -digit number $= 99$
$99$ is not a prime number, similarly $98$ is also not a prime number.
Consider $97$ . It is a prime number since it has only two factors namely $1$ and $97$ .
Therefore, $97$ is the greatest $2$ -digit prime number.

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