No, 8 is not a factor of 41.
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41 is a prime number so its only factors are 1 and itself (1 x 41).
The greatest common factor of 41 , 100 = 1
The greatest common factor of 61 , 121143 = 1
13 is the largest prime factor of 3120.
You don't. 41 is a prime number. Prime numbers don't have factor trees, since they only have one prime factor.