2 and 5 are one such pair.
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2 and 7 is the only such pair.
Since 1, known as the "multiplicative identity", cannot be counted as a factor, there are many pairs of numbers that do not have common factors, such as 2 and 3, 2 and 5, and 3 and 5. There are many pairs of composite (not prime) numbers without common factors, such as 4 and 9. Also, since prime numbers do not have factors, any pair of primes cannot have a common factor, though a pair in which one number is prime may, e.g. 5 and 10.
There are no other prime numbers that are even but 2.
The only even prime number is 2.
They are prime numbers when you reverse the first one, the second one is prime also.