What is the Greatest Common Factor of 14364 and 14371?

Greatest common factor (GCF) of 14364 and 14371 is 7.

GCF(14364,14371) = 7

We will now calculate the prime factors of 14364 and 14371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14364 and 14371.

How to find the GCF of 14364 and 14371?

We will first find the prime factorization of 14364 and 14371. After we will calculate the factors of 14364 and 14371 and find the biggest common factor number .

Step-1: Prime Factorization of 14364

Prime factors of 14364 are 2, 3, 7, 19. Prime factorization of 14364 in exponential form is:

14364 = 2² × 3³ × 7¹ × 19¹

Step-2: Prime Factorization of 14371

Prime factors of 14371 are 7, 2053. Prime factorization of 14371 in exponential form is:

14371 = 7¹ × 2053¹

Step-3: Factors of 14364

List of positive integer factors of 14364 that divides 14364 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 27, 28, 36, 38, 42, 54, 57, 63, 76, 84, 108, 114, 126, 133, 171, 189, 228, 252, 266, 342, 378, 399, 513, 532, 684, 756, 798, 1026, 1197, 1596, 2052, 2394, 3591, 4788, 7182

Step-4: Factors of 14371

List of positive integer factors of 14371 that divides 14364 without a remainder.

1, 7, 2053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14364 and 14371. The biggest common factor number is the GCF number.
So the greatest common factor 14364 and 14371 is 7.

Also check out the Least Common Multiple of 14364 and 14371