What is the Greatest Common Factor of 31309 and 31326?

Greatest common factor (GCF) of 31309 and 31326 is 1.

GCF(31309,31326) = 1

We will now calculate the prime factors of 31309 and 31326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31309 and 31326.

How to find the GCF of 31309 and 31326?

We will first find the prime factorization of 31309 and 31326. After we will calculate the factors of 31309 and 31326 and find the biggest common factor number .

Step-1: Prime Factorization of 31309

Prime factors of 31309 are 131, 239. Prime factorization of 31309 in exponential form is:

31309 = 131¹ × 239¹

Step-2: Prime Factorization of 31326

Prime factors of 31326 are 2, 3, 23, 227. Prime factorization of 31326 in exponential form is:

31326 = 2¹ × 3¹ × 23¹ × 227¹

Step-3: Factors of 31309

List of positive integer factors of 31309 that divides 31309 without a remainder.

1, 131, 239

Step-4: Factors of 31326

List of positive integer factors of 31326 that divides 31309 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 227, 454, 681, 1362, 5221, 10442, 15663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31309 and 31326. The biggest common factor number is the GCF number.
So the greatest common factor 31309 and 31326 is 1.

Also check out the Least Common Multiple of 31309 and 31326