Question

find a primitive Pythagorean triple other than (3, 4, 5).

Answer 1

Let me explain it with another pythagorean triple which is: 5, 12, 13 which will be 52+122=132 
Here I give you the divisors of 5: 1, 5 
Now the divisors of 12: 1, 2, 3, 4, 6, 12 
And the divisors of 13:1, 13 
The greatest common divisor is 1