What is the Greatest Common Factor of 14350 and 14364?

Greatest common factor (GCF) of 14350 and 14364 is 14.

GCF(14350,14364) = 14

We will now calculate the prime factors of 14350 and 14364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14350 and 14364.

How to find the GCF of 14350 and 14364?

We will first find the prime factorization of 14350 and 14364. After we will calculate the factors of 14350 and 14364 and find the biggest common factor number .

Step-1: Prime Factorization of 14350

Prime factors of 14350 are 2, 5, 7, 41. Prime factorization of 14350 in exponential form is:

14350 = 2¹ × 5² × 7¹ × 41¹

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 14350

List of positive integer factors of 14350 that divides 14350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 41, 50, 70, 82, 175, 205, 287, 350, 410, 574, 1025, 1435, 2050, 2870, 7175

Step-4: Factors of 14364

List of positive integer factors of 14364 that divides 14350 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 14350 and 14364. The biggest common factor number is the GCF number.
So the greatest common factor 14350 and 14364 is 14.

Also check out the Least Common Multiple of 14350 and 14364