What is the Greatest Common Factor of 31089 and 31099?

Greatest common factor (GCF) of 31089 and 31099 is 1.

GCF(31089,31099) = 1

We will now calculate the prime factors of 31089 and 31099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31089 and 31099.

How to find the GCF of 31089 and 31099?

We will first find the prime factorization of 31089 and 31099. After we will calculate the factors of 31089 and 31099 and find the biggest common factor number .

Step-1: Prime Factorization of 31089

Prime factors of 31089 are 3, 43, 241. Prime factorization of 31089 in exponential form is:

31089 = 3¹ × 43¹ × 241¹

Step-2: Prime Factorization of 31099

Prime factors of 31099 are 137, 227. Prime factorization of 31099 in exponential form is:

31099 = 137¹ × 227¹

Step-3: Factors of 31089

List of positive integer factors of 31089 that divides 31089 without a remainder.

1, 3, 43, 129, 241, 723, 10363

Step-4: Factors of 31099

List of positive integer factors of 31099 that divides 31089 without a remainder.

1, 137, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31089 and 31099. The biggest common factor number is the GCF number.
So the greatest common factor 31089 and 31099 is 1.

Also check out the Least Common Multiple of 31089 and 31099