What is the Greatest Common Factor of 31084 and 31089?

Greatest common factor (GCF) of 31084 and 31089 is 1.

GCF(31084,31089) = 1

We will now calculate the prime factors of 31084 and 31089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31084 and 31089.

How to find the GCF of 31084 and 31089?

We will first find the prime factorization of 31084 and 31089. After we will calculate the factors of 31084 and 31089 and find the biggest common factor number .

Step-1: Prime Factorization of 31084

Prime factors of 31084 are 2, 19, 409. Prime factorization of 31084 in exponential form is:

31084 = 2² × 19¹ × 409¹

Step-2: 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-3: Factors of 31084

List of positive integer factors of 31084 that divides 31084 without a remainder.

1, 2, 4, 19, 38, 76, 409, 818, 1636, 7771, 15542

Step-4: Factors of 31089

List of positive integer factors of 31089 that divides 31084 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31084 and 31089. The biggest common factor number is the GCF number.
So the greatest common factor 31084 and 31089 is 1.

Also check out the Least Common Multiple of 31084 and 31089