Answer :
Final answer:
The numbers 182 and 195 are not relatively prime because their greatest common divisor is 13, not 1.
Explanation:
In mathematics, two numbers are said to be relatively prime (or coprime) if the only positive integer that divides both of them is 1. In other words, their greatest common divisor (GCD) is 1. To determine if the numbers 182 and 195 are relatively prime, we need to find their GCD.
The prime factors of 182 are 2, 7, and 13. The prime factors of 195 are 3, 5, and 13. The common factor between these two numbers is 13, which means their GCD is not 1. Therefore, 182 and 195 are not relatively prime.
Learn more about Relatively Prime here:
https://brainly.com/question/34275211
#SPJ3
Remember that if two numbers are relatively prime, they share no common factors beside 1. First, let's examine the factors of both 182 and 195. To do this, simply divide the numbers until you can divide no more!
[tex]182 = 2 \cdot 91 = 2 \cdot 7 \cdot 13[/tex]
[tex]195 = 5 \cdot 39 = 5 \cdot 13 \cdot 3[/tex]
You can see that both numbers have a factor of 13, meaning that they are not relatively prime.
