Question

Is the greatest common factor between any two prime numbers equal to 1?

• A. Yes
• B. No
• C. Cannot be determined

Answer 1

The correct option is A Yes

Prime numbers are only divisible by 1 and itselves and for 2 different prime numbers, each prime can’t divide the other prime. So 1 is the only common factor between them.

Hence, greatest common factor between any two prime numbers equal 1.

Let's take an example of two prime numbers i.e 3 and 5.
$3=\underset{–}{1}\times 35=\underset{–}{1}\times 5$

1 is the only common factor between them. Hence, greatest common divisor of 3 and 5 is equal to 1.