What is the Greatest Common Factor of 22872 and 22884?

Greatest common factor (GCF) of 22872 and 22884 is 12.

GCF(22872,22884) = 12

We will now calculate the prime factors of 22872 and 22884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22872 and 22884.

How to find the GCF of 22872 and 22884?

We will first find the prime factorization of 22872 and 22884. After we will calculate the factors of 22872 and 22884 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 22884

Prime factors of 22884 are 2, 3, 1907. Prime factorization of 22884 in exponential form is:

22884 = 2² × 3¹ × 1907¹

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 22884

List of positive integer factors of 22884 that divides 22872 without a remainder.

1, 2, 3, 4, 6, 12, 1907, 3814, 5721, 7628, 11442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22872 and 22884. The biggest common factor number is the GCF number.
So the greatest common factor 22872 and 22884 is 12.

Also check out the Least Common Multiple of 22872 and 22884