What is the Greatest Common Factor of 14345 and 14364?

Greatest common factor (GCF) of 14345 and 14364 is 19.

GCF(14345,14364) = 19

We will now calculate the prime factors of 14345 and 14364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14345 and 14364.

How to find the GCF of 14345 and 14364?

We will first find the prime factorization of 14345 and 14364. After we will calculate the factors of 14345 and 14364 and find the biggest common factor number .

Step-1: Prime Factorization of 14345

Prime factors of 14345 are 5, 19, 151. Prime factorization of 14345 in exponential form is:

14345 = 5¹ × 19¹ × 151¹

Step-2: 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-3: Factors of 14345

List of positive integer factors of 14345 that divides 14345 without a remainder.

1, 5, 19, 95, 151, 755, 2869

Step-4: Factors of 14364

List of positive integer factors of 14364 that divides 14345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14345 and 14364. The biggest common factor number is the GCF number.
So the greatest common factor 14345 and 14364 is 19.

Also check out the Least Common Multiple of 14345 and 14364