What is the Greatest Common Factor of 14589 and 14601?

Greatest common factor (GCF) of 14589 and 14601 is 3.

GCF(14589,14601) = 3

We will now calculate the prime factors of 14589 and 14601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14589 and 14601.

How to find the GCF of 14589 and 14601?

We will first find the prime factorization of 14589 and 14601. After we will calculate the factors of 14589 and 14601 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 14601

Prime factors of 14601 are 3, 31, 157. Prime factorization of 14601 in exponential form is:

14601 = 3¹ × 31¹ × 157¹

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 14601

List of positive integer factors of 14601 that divides 14589 without a remainder.

1, 3, 31, 93, 157, 471, 4867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14589 and 14601. The biggest common factor number is the GCF number.
So the greatest common factor 14589 and 14601 is 3.

Also check out the Least Common Multiple of 14589 and 14601