What is the Greatest Common Factor of 31891 and 31911?

Greatest common factor (GCF) of 31891 and 31911 is 1.

GCF(31891,31911) = 1

We will now calculate the prime factors of 31891 and 31911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31891 and 31911.

How to find the GCF of 31891 and 31911?

We will first find the prime factorization of 31891 and 31911. After we will calculate the factors of 31891 and 31911 and find the biggest common factor number .

Step-1: Prime Factorization of 31891

Prime factors of 31891 are 31891. Prime factorization of 31891 in exponential form is:

31891 = 31891¹

Step-2: Prime Factorization of 31911

Prime factors of 31911 are 3, 11, 967. Prime factorization of 31911 in exponential form is:

31911 = 3¹ × 11¹ × 967¹

Step-3: Factors of 31891

List of positive integer factors of 31891 that divides 31891 without a remainder.

Step-4: Factors of 31911

List of positive integer factors of 31911 that divides 31891 without a remainder.

1, 3, 11, 33, 967, 2901, 10637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31891 and 31911. The biggest common factor number is the GCF number.
So the greatest common factor 31891 and 31911 is 1.

Also check out the Least Common Multiple of 31891 and 31911