What is the Greatest Common Factor of 14388 and 14399?

Greatest common factor (GCF) of 14388 and 14399 is 11.

GCF(14388,14399) = 11

We will now calculate the prime factors of 14388 and 14399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14388 and 14399.

How to find the GCF of 14388 and 14399?

We will first find the prime factorization of 14388 and 14399. After we will calculate the factors of 14388 and 14399 and find the biggest common factor number .

Step-1: Prime Factorization of 14388

Prime factors of 14388 are 2, 3, 11, 109. Prime factorization of 14388 in exponential form is:

14388 = 2² × 3¹ × 11¹ × 109¹

Step-2: Prime Factorization of 14399

Prime factors of 14399 are 7, 11, 17. Prime factorization of 14399 in exponential form is:

14399 = 7¹ × 11² × 17¹

Step-3: Factors of 14388

List of positive integer factors of 14388 that divides 14388 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 109, 132, 218, 327, 436, 654, 1199, 1308, 2398, 3597, 4796, 7194

Step-4: Factors of 14399

List of positive integer factors of 14399 that divides 14388 without a remainder.

1, 7, 11, 17, 77, 119, 121, 187, 847, 1309, 2057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14388 and 14399. The biggest common factor number is the GCF number.
So the greatest common factor 14388 and 14399 is 11.

Also check out the Least Common Multiple of 14388 and 14399