What is the Greatest Common Factor of 31894 and 31911?

Greatest common factor (GCF) of 31894 and 31911 is 1.

GCF(31894,31911) = 1

We will now calculate the prime factors of 31894 and 31911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31894 and 31911.

How to find the GCF of 31894 and 31911?

We will first find the prime factorization of 31894 and 31911. After we will calculate the factors of 31894 and 31911 and find the biggest common factor number .

Step-1: Prime Factorization of 31894

Prime factors of 31894 are 2, 37, 431. Prime factorization of 31894 in exponential form is:

31894 = 2¹ × 37¹ × 431¹

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 31894

List of positive integer factors of 31894 that divides 31894 without a remainder.

1, 2, 37, 74, 431, 862, 15947

Step-4: Factors of 31911

List of positive integer factors of 31911 that divides 31894 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31894 and 31911. The biggest common factor number is the GCF number.
So the greatest common factor 31894 and 31911 is 1.

Also check out the Least Common Multiple of 31894 and 31911