What is the Greatest Common Factor of 14484 and 14500?

Greatest common factor (GCF) of 14484 and 14500 is 4.

GCF(14484,14500) = 4

We will now calculate the prime factors of 14484 and 14500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14484 and 14500.

How to find the GCF of 14484 and 14500?

We will first find the prime factorization of 14484 and 14500. After we will calculate the factors of 14484 and 14500 and find the biggest common factor number .

Step-1: Prime Factorization of 14484

Prime factors of 14484 are 2, 3, 17, 71. Prime factorization of 14484 in exponential form is:

14484 = 2² × 3¹ × 17¹ × 71¹

Step-2: Prime Factorization of 14500

Prime factors of 14500 are 2, 5, 29. Prime factorization of 14500 in exponential form is:

14500 = 2² × 5³ × 29¹

Step-3: Factors of 14484

List of positive integer factors of 14484 that divides 14484 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 71, 102, 142, 204, 213, 284, 426, 852, 1207, 2414, 3621, 4828, 7242

Step-4: Factors of 14500

List of positive integer factors of 14500 that divides 14484 without a remainder.

1, 2, 4, 5, 10, 20, 25, 29, 50, 58, 100, 116, 125, 145, 250, 290, 500, 580, 725, 1450, 2900, 3625, 7250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14484 and 14500. The biggest common factor number is the GCF number.
So the greatest common factor 14484 and 14500 is 4.

Also check out the Least Common Multiple of 14484 and 14500