What is the Greatest Common Factor of 12322 and 12339?

Greatest common factor (GCF) of 12322 and 12339 is 1.

GCF(12322,12339) = 1

We will now calculate the prime factors of 12322 and 12339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12322 and 12339.

How to find the GCF of 12322 and 12339?

We will first find the prime factorization of 12322 and 12339. After we will calculate the factors of 12322 and 12339 and find the biggest common factor number .

Step-1: Prime Factorization of 12322

Prime factors of 12322 are 2, 61, 101. Prime factorization of 12322 in exponential form is:

12322 = 2¹ × 61¹ × 101¹

Step-2: Prime Factorization of 12339

Prime factors of 12339 are 3, 457. Prime factorization of 12339 in exponential form is:

12339 = 3³ × 457¹

Step-3: Factors of 12322

List of positive integer factors of 12322 that divides 12322 without a remainder.

1, 2, 61, 101, 122, 202, 6161

Step-4: Factors of 12339

List of positive integer factors of 12339 that divides 12322 without a remainder.

1, 3, 9, 27, 457, 1371, 4113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12322 and 12339. The biggest common factor number is the GCF number.
So the greatest common factor 12322 and 12339 is 1.

Also check out the Least Common Multiple of 12322 and 12339