Question

Which pair of numbers is relatively prime? A. 14 and 81 B. 14 and 35 C. 14 and 91 D. 14 and 38

Answer 1

To determine if a pair of numbers is relatively prime, we need to find their greatest common divisor (GCD). If the GCD is 1, then the numbers are relatively prime. The pair 14 and 81 is relatively prime.

Step-by-step explanation:

For two numbers to be relatively prime, their greatest common divisor (GCD) must be 1.

We can find the GCD by finding the prime factors of each number and determining if they have any common factors.

Let's take a look at each pair of numbers:

1. 14 and 81: Prime factors of 14 are 2 and 7. Prime factors of 81 are 3 and 3. Since they have no common factors, they are relatively prime.
2. 14 and 35: Prime factors of 14 are 2 and 7. Prime factors of 35 are 5 and 7. Since they have a common factor of 7, they are not relatively prime.
3. 14 and 91: Prime factors of 14 are 2 and 7. Prime factors of 91 are 7 and 13. Since they have a common factor of 7, they are not relatively prime.
4. 14 and 38: Prime factors of 14 are 2 and 7. Prime factors of 38 are 2 and 19. Since they have a common factor of 2, they are not relatively prime.

Therefore, the pair of numbers that is relatively prime is 14 and 81.

Answer 2

 c it is 14 i think but please do not get mad