SOLUTION: Which of the following numbers is a relative prime of 27? a.)24 b.)35 c.)45 d.)54 or e.)60? How did you come to this answer?

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Question 5018: Which of the following numbers is a relative prime of 27? a.)24 b.)35 c.)45 d.)54 or e.)60? How did you come to this answer?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
When two numbers are relatively prime, it means that they have no common factors. In this case, 24 has prime factors of 2 and 3 only. Now look at the choices: Notice that 35 = 5*7, and neither 2 nor 3 divides evenly into 35. Therefore they are relatively prime. The other choices are numbers that are all divisible by 3.

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