What is the Greatest Common Factor of 22868 and 22872?

Greatest common factor (GCF) of 22868 and 22872 is 4.

GCF(22868,22872) = 4

We will now calculate the prime factors of 22868 and 22872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22868 and 22872.

How to find the GCF of 22868 and 22872?

We will first find the prime factorization of 22868 and 22872. After we will calculate the factors of 22868 and 22872 and find the biggest common factor number .

Step-1: Prime Factorization of 22868

Prime factors of 22868 are 2, 5717. Prime factorization of 22868 in exponential form is:

22868 = 2² × 5717¹

Step-2: 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-3: Factors of 22868

List of positive integer factors of 22868 that divides 22868 without a remainder.

1, 2, 4, 5717, 11434

Step-4: Factors of 22872

List of positive integer factors of 22872 that divides 22868 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22868 and 22872. The biggest common factor number is the GCF number.
So the greatest common factor 22868 and 22872 is 4.

Also check out the Least Common Multiple of 22868 and 22872