What is the Greatest Common Factor of 22632 and 22652?

Greatest common factor (GCF) of 22632 and 22652 is 4.

GCF(22632,22652) = 4

We will now calculate the prime factors of 22632 and 22652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22632 and 22652.

How to find the GCF of 22632 and 22652?

We will first find the prime factorization of 22632 and 22652. After we will calculate the factors of 22632 and 22652 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 22652

Prime factors of 22652 are 2, 7, 809. Prime factorization of 22652 in exponential form is:

22652 = 2² × 7¹ × 809¹

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 22652

List of positive integer factors of 22652 that divides 22632 without a remainder.

1, 2, 4, 7, 14, 28, 809, 1618, 3236, 5663, 11326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22632 and 22652. The biggest common factor number is the GCF number.
So the greatest common factor 22632 and 22652 is 4.

Also check out the Least Common Multiple of 22632 and 22652