What is the Greatest Common Factor of 14322 and 14339?

Greatest common factor (GCF) of 14322 and 14339 is 1.

GCF(14322,14339) = 1

We will now calculate the prime factors of 14322 and 14339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14322 and 14339.

How to find the GCF of 14322 and 14339?

We will first find the prime factorization of 14322 and 14339. After we will calculate the factors of 14322 and 14339 and find the biggest common factor number .

Step-1: Prime Factorization of 14322

Prime factors of 14322 are 2, 3, 7, 11, 31. Prime factorization of 14322 in exponential form is:

14322 = 2¹ × 3¹ × 7¹ × 11¹ × 31¹

Step-2: Prime Factorization of 14339

Prime factors of 14339 are 13, 1103. Prime factorization of 14339 in exponential form is:

14339 = 13¹ × 1103¹

Step-3: Factors of 14322

List of positive integer factors of 14322 that divides 14322 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 31, 33, 42, 62, 66, 77, 93, 154, 186, 217, 231, 341, 434, 462, 651, 682, 1023, 1302, 2046, 2387, 4774, 7161

Step-4: Factors of 14339

List of positive integer factors of 14339 that divides 14322 without a remainder.

1, 13, 1103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14322 and 14339. The biggest common factor number is the GCF number.
So the greatest common factor 14322 and 14339 is 1.

Also check out the Least Common Multiple of 14322 and 14339