I used a factor tree.
165
55,3
11,5,3
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The prime factor decomposition of 168 is: 23 x 3 x 7
The prime factorization of 165 is 3 x 5 x 11
Common factors of 165 and 193 are: 1.
35 can be a factor, but it is not prime.
There is no factorization. 37 is a prime number.37 is already prime. Its only prime factor is itself.