What is the Greatest Common Factor of 22632 and 22644?

Greatest common factor (GCF) of 22632 and 22644 is 12.

GCF(22632,22644) = 12

We will now calculate the prime factors of 22632 and 22644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22632 and 22644.

How to find the GCF of 22632 and 22644?

We will first find the prime factorization of 22632 and 22644. After we will calculate the factors of 22632 and 22644 and find the biggest common factor number .

Step-1: Prime Factorization of 22632

Prime factors of 22632 are 2, 3, 23, 41. Prime factorization of 22632 in exponential form is:

22632 = 2³ × 3¹ × 23¹ × 41¹

Step-2: Prime Factorization of 22644

Prime factors of 22644 are 2, 3, 17, 37. Prime factorization of 22644 in exponential form is:

22644 = 2² × 3² × 17¹ × 37¹

Step-3: Factors of 22632

List of positive integer factors of 22632 that divides 22632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 41, 46, 69, 82, 92, 123, 138, 164, 184, 246, 276, 328, 492, 552, 943, 984, 1886, 2829, 3772, 5658, 7544, 11316

Step-4: Factors of 22644

List of positive integer factors of 22644 that divides 22632 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 37, 51, 68, 74, 102, 111, 148, 153, 204, 222, 306, 333, 444, 612, 629, 666, 1258, 1332, 1887, 2516, 3774, 5661, 7548, 11322

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22632 and 22644. The biggest common factor number is the GCF number.
So the greatest common factor 22632 and 22644 is 12.

Also check out the Least Common Multiple of 22632 and 22644