What is the Greatest Common Factor of 22623 and 22632?

Greatest common factor (GCF) of 22623 and 22632 is 3.

GCF(22623,22632) = 3

We will now calculate the prime factors of 22623 and 22632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22623 and 22632.

How to find the GCF of 22623 and 22632?

We will first find the prime factorization of 22623 and 22632. After we will calculate the factors of 22623 and 22632 and find the biggest common factor number .

Step-1: Prime Factorization of 22623

Prime factors of 22623 are 3, 7541. Prime factorization of 22623 in exponential form is:

22623 = 3¹ × 7541¹

Step-2: 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-3: Factors of 22623

List of positive integer factors of 22623 that divides 22623 without a remainder.

1, 3, 7541

Step-4: Factors of 22632

List of positive integer factors of 22632 that divides 22623 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22623 and 22632. The biggest common factor number is the GCF number.
So the greatest common factor 22623 and 22632 is 3.

Also check out the Least Common Multiple of 22623 and 22632