What is the Greatest Common Factor of 22884 and 22896?

Greatest common factor (GCF) of 22884 and 22896 is 12.

GCF(22884,22896) = 12

We will now calculate the prime factors of 22884 and 22896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22884 and 22896.

How to find the GCF of 22884 and 22896?

We will first find the prime factorization of 22884 and 22896. After we will calculate the factors of 22884 and 22896 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22896

Prime factors of 22896 are 2, 3, 53. Prime factorization of 22896 in exponential form is:

22896 = 2⁴ × 3³ × 53¹

Step-3: Factors of 22884

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

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

Step-4: Factors of 22896

List of positive integer factors of 22896 that divides 22884 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 53, 54, 72, 106, 108, 144, 159, 212, 216, 318, 424, 432, 477, 636, 848, 954, 1272, 1431, 1908, 2544, 2862, 3816, 5724, 7632, 11448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22884 and 22896. The biggest common factor number is the GCF number.
So the greatest common factor 22884 and 22896 is 12.

Also check out the Least Common Multiple of 22884 and 22896