What is the Greatest Common Factor of 14589 and 14598?

Greatest common factor (GCF) of 14589 and 14598 is 9.

GCF(14589,14598) = 9

We will now calculate the prime factors of 14589 and 14598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14589 and 14598.

How to find the GCF of 14589 and 14598?

We will first find the prime factorization of 14589 and 14598. After we will calculate the factors of 14589 and 14598 and find the biggest common factor number .

Step-1: Prime Factorization of 14589

Prime factors of 14589 are 3, 1621. Prime factorization of 14589 in exponential form is:

14589 = 3² × 1621¹

Step-2: Prime Factorization of 14598

Prime factors of 14598 are 2, 3, 811. Prime factorization of 14598 in exponential form is:

14598 = 2¹ × 3² × 811¹

Step-3: Factors of 14589

List of positive integer factors of 14589 that divides 14589 without a remainder.

1, 3, 9, 1621, 4863

Step-4: Factors of 14598

List of positive integer factors of 14598 that divides 14589 without a remainder.

1, 2, 3, 6, 9, 18, 811, 1622, 2433, 4866, 7299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14589 and 14598. The biggest common factor number is the GCF number.
So the greatest common factor 14589 and 14598 is 9.

Also check out the Least Common Multiple of 14589 and 14598