confused regarding statement 1
statement 2 is sufficient. [/img]
Genius is one percent inspiration, ninety-nine percent perspiration
Target question: What is the greatest common factor of x and y?What is the greatest common factor of positive integers x and y
1) x and y share only one common factor
2) x and y are unique prime numbers
Statement 1: x and y share only one common factor
All integers have 1 as a factor.
So, if x and y share only one common factor, then that common factor must be 1, in which case the greatest common factor of x and y is definitely 1
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: x and y are unique prime numbers
If x is prime, the positive factors of x are 1 and x
If y is prime, the positive factors of y are 1 and y
If x does not equal y, then the greatest common factor of x and y must be 1
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer = D
Cheers,
Brent
