What is the Greatest Common Factor of 14364 and 14374?

Greatest common factor (GCF) of 14364 and 14374 is 2.

GCF(14364,14374) = 2

We will now calculate the prime factors of 14364 and 14374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14364 and 14374.

How to find the GCF of 14364 and 14374?

We will first find the prime factorization of 14364 and 14374. After we will calculate the factors of 14364 and 14374 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 14374

Prime factors of 14374 are 2, 7187. Prime factorization of 14374 in exponential form is:

14374 = 2¹ × 7187¹

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 14374

List of positive integer factors of 14374 that divides 14364 without a remainder.

1, 2, 7187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14364 and 14374. The biggest common factor number is the GCF number.
So the greatest common factor 14364 and 14374 is 2.

Also check out the Least Common Multiple of 14364 and 14374