What is the Greatest Common Factor of 22389 and 22401?

Greatest common factor (GCF) of 22389 and 22401 is 3.

GCF(22389,22401) = 3

We will now calculate the prime factors of 22389 and 22401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22389 and 22401.

How to find the GCF of 22389 and 22401?

We will first find the prime factorization of 22389 and 22401. After we will calculate the factors of 22389 and 22401 and find the biggest common factor number .

Step-1: Prime Factorization of 22389

Prime factors of 22389 are 3, 17, 439. Prime factorization of 22389 in exponential form is:

22389 = 3¹ × 17¹ × 439¹

Step-2: Prime Factorization of 22401

Prime factors of 22401 are 3, 19, 131. Prime factorization of 22401 in exponential form is:

22401 = 3² × 19¹ × 131¹

Step-3: Factors of 22389

List of positive integer factors of 22389 that divides 22389 without a remainder.

1, 3, 17, 51, 439, 1317, 7463

Step-4: Factors of 22401

List of positive integer factors of 22401 that divides 22389 without a remainder.

1, 3, 9, 19, 57, 131, 171, 393, 1179, 2489, 7467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22389 and 22401. The biggest common factor number is the GCF number.
So the greatest common factor 22389 and 22401 is 3.

Also check out the Least Common Multiple of 22389 and 22401