What is the Greatest Common Factor of 22872 and 22887?

Greatest common factor (GCF) of 22872 and 22887 is 3.

GCF(22872,22887) = 3

We will now calculate the prime factors of 22872 and 22887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22872 and 22887.

How to find the GCF of 22872 and 22887?

We will first find the prime factorization of 22872 and 22887. After we will calculate the factors of 22872 and 22887 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 22887

Prime factors of 22887 are 3, 2543. Prime factorization of 22887 in exponential form is:

22887 = 3² × 2543¹

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 22887

List of positive integer factors of 22887 that divides 22872 without a remainder.

1, 3, 9, 2543, 7629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22872 and 22887. The biggest common factor number is the GCF number.
So the greatest common factor 22872 and 22887 is 3.

Also check out the Least Common Multiple of 22872 and 22887