What is the Greatest Common Factor of 13384 and 13398?

Greatest common factor (GCF) of 13384 and 13398 is 14.

GCF(13384,13398) = 14

We will now calculate the prime factors of 13384 and 13398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13384 and 13398.

How to find the GCF of 13384 and 13398?

We will first find the prime factorization of 13384 and 13398. After we will calculate the factors of 13384 and 13398 and find the biggest common factor number .

Step-1: Prime Factorization of 13384

Prime factors of 13384 are 2, 7, 239. Prime factorization of 13384 in exponential form is:

13384 = 2³ × 7¹ × 239¹

Step-2: Prime Factorization of 13398

Prime factors of 13398 are 2, 3, 7, 11, 29. Prime factorization of 13398 in exponential form is:

13398 = 2¹ × 3¹ × 7¹ × 11¹ × 29¹

Step-3: Factors of 13384

List of positive integer factors of 13384 that divides 13384 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 239, 478, 956, 1673, 1912, 3346, 6692

Step-4: Factors of 13398

List of positive integer factors of 13398 that divides 13384 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 29, 33, 42, 58, 66, 77, 87, 154, 174, 203, 231, 319, 406, 462, 609, 638, 957, 1218, 1914, 2233, 4466, 6699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13384 and 13398. The biggest common factor number is the GCF number.
So the greatest common factor 13384 and 13398 is 14.

Also check out the Least Common Multiple of 13384 and 13398