What is the Greatest Common Factor of 14491 and 14500?

Greatest common factor (GCF) of 14491 and 14500 is 1.

GCF(14491,14500) = 1

We will now calculate the prime factors of 14491 and 14500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14491 and 14500.

How to find the GCF of 14491 and 14500?

We will first find the prime factorization of 14491 and 14500. After we will calculate the factors of 14491 and 14500 and find the biggest common factor number .

Step-1: Prime Factorization of 14491

Prime factors of 14491 are 43, 337. Prime factorization of 14491 in exponential form is:

14491 = 43¹ × 337¹

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 14491

List of positive integer factors of 14491 that divides 14491 without a remainder.

1, 43, 337

Step-4: Factors of 14500

List of positive integer factors of 14500 that divides 14491 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 14491 and 14500. The biggest common factor number is the GCF number.
So the greatest common factor 14491 and 14500 is 1.

Also check out the Least Common Multiple of 14491 and 14500