SOLUTION: The greatest common divisor of [3^(3^333)+1] & [3^(3^334)+1] is which of the following: (a)2 (b)1 (c)3^3^333 (d)20

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: The greatest common divisor of [3^(3^333)+1] & [3^(3^334)+1] is which of the following: (a)2 (b)1 (c)3^3^333 (d)20      Log On


   

Question 1073095: The greatest common divisor of [3^(3^333)+1] & [3^(3^334)+1] is which of the following:
(a)2
(b)1
(c)3^3^333
(d)20
Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20066) About Me  (Show Source):
You can put this solution on YOUR website!
 

 

 

 

 

Factor the second one as the sum of two cubes

 

Since the first one is a factor of the second one, the
greatest common factor is the first one:

 matrix%282%2C1%2C%22%22%2C%283%5E%28%283%5E333%29%29%2B1%29%29

Edwin

Answer by AnlytcPhil(1810) About Me  (Show Source):
You can put this solution on YOUR website!
 

 

 

 

 

Factor the second one as the sum of two cubes

 

Since the first one is a factor of the second one, the
greatest common factor is the first one:

 matrix%282%2C1%2C%22%22%2C%283%5E%28%283%5E333%29%29%2B1%29%29

Edwin