What is the Greatest Common Factor of 31889 and 31909?

Greatest common factor (GCF) of 31889 and 31909 is 1.

GCF(31889,31909) = 1

We will now calculate the prime factors of 31889 and 31909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31889 and 31909.

How to find the GCF of 31889 and 31909?

We will first find the prime factorization of 31889 and 31909. After we will calculate the factors of 31889 and 31909 and find the biggest common factor number .

Step-1: Prime Factorization of 31889

Prime factors of 31889 are 11, 13, 223. Prime factorization of 31889 in exponential form is:

31889 = 11¹ × 13¹ × 223¹

Step-2: Prime Factorization of 31909

Prime factors of 31909 are 17, 1877. Prime factorization of 31909 in exponential form is:

31909 = 17¹ × 1877¹

Step-3: Factors of 31889

List of positive integer factors of 31889 that divides 31889 without a remainder.

1, 11, 13, 143, 223, 2453, 2899

Step-4: Factors of 31909

List of positive integer factors of 31909 that divides 31889 without a remainder.

1, 17, 1877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31889 and 31909. The biggest common factor number is the GCF number.
So the greatest common factor 31889 and 31909 is 1.

Also check out the Least Common Multiple of 31889 and 31909