What is the Greatest Common Factor of 14500 and 14508?

Greatest common factor (GCF) of 14500 and 14508 is 4.

GCF(14500,14508) = 4

We will now calculate the prime factors of 14500 and 14508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14500 and 14508.

How to find the GCF of 14500 and 14508?

We will first find the prime factorization of 14500 and 14508. After we will calculate the factors of 14500 and 14508 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14508

Prime factors of 14508 are 2, 3, 13, 31. Prime factorization of 14508 in exponential form is:

14508 = 2² × 3² × 13¹ × 31¹

Step-3: Factors of 14500

List of positive integer factors of 14500 that divides 14500 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

Step-4: Factors of 14508

List of positive integer factors of 14508 that divides 14500 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 31, 36, 39, 52, 62, 78, 93, 117, 124, 156, 186, 234, 279, 372, 403, 468, 558, 806, 1116, 1209, 1612, 2418, 3627, 4836, 7254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14500 and 14508. The biggest common factor number is the GCF number.
So the greatest common factor 14500 and 14508 is 4.

Also check out the Least Common Multiple of 14500 and 14508