What is the Greatest Common Factor of 22872 and 22889?

Greatest common factor (GCF) of 22872 and 22889 is 1.

GCF(22872,22889) = 1

We will now calculate the prime factors of 22872 and 22889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22872 and 22889.

How to find the GCF of 22872 and 22889?

We will first find the prime factorization of 22872 and 22889. After we will calculate the factors of 22872 and 22889 and find the biggest common factor number .

Step-1: Prime Factorization of 22872

Prime factors of 22872 are 2, 3, 953. Prime factorization of 22872 in exponential form is:

22872 = 2³ × 3¹ × 953¹

Step-2: Prime Factorization of 22889

Prime factors of 22889 are 47, 487. Prime factorization of 22889 in exponential form is:

22889 = 47¹ × 487¹

Step-3: Factors of 22872

List of positive integer factors of 22872 that divides 22872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 953, 1906, 2859, 3812, 5718, 7624, 11436

Step-4: Factors of 22889

List of positive integer factors of 22889 that divides 22872 without a remainder.

1, 47, 487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22872 and 22889. The biggest common factor number is the GCF number.
So the greatest common factor 22872 and 22889 is 1.

Also check out the Least Common Multiple of 22872 and 22889