What is the Greatest Common Factor of 14392 and 14399?

Greatest common factor (GCF) of 14392 and 14399 is 7.

GCF(14392,14399) = 7

We will now calculate the prime factors of 14392 and 14399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14392 and 14399.

How to find the GCF of 14392 and 14399?

We will first find the prime factorization of 14392 and 14399. After we will calculate the factors of 14392 and 14399 and find the biggest common factor number .

Step-1: Prime Factorization of 14392

Prime factors of 14392 are 2, 7, 257. Prime factorization of 14392 in exponential form is:

14392 = 2³ × 7¹ × 257¹

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 14392

List of positive integer factors of 14392 that divides 14392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 257, 514, 1028, 1799, 2056, 3598, 7196

Step-4: Factors of 14399

List of positive integer factors of 14399 that divides 14392 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 14392 and 14399. The biggest common factor number is the GCF number.
So the greatest common factor 14392 and 14399 is 7.

Also check out the Least Common Multiple of 14392 and 14399