What is the Greatest Common Factor of 22627 and 22644?

Greatest common factor (GCF) of 22627 and 22644 is 17.

GCF(22627,22644) = 17

We will now calculate the prime factors of 22627 and 22644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22627 and 22644.

How to find the GCF of 22627 and 22644?

We will first find the prime factorization of 22627 and 22644. After we will calculate the factors of 22627 and 22644 and find the biggest common factor number .

Step-1: Prime Factorization of 22627

Prime factors of 22627 are 11, 17. Prime factorization of 22627 in exponential form is:

22627 = 11³ × 17¹

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 22627

List of positive integer factors of 22627 that divides 22627 without a remainder.

1, 11, 17, 121, 187, 1331, 2057

Step-4: Factors of 22644

List of positive integer factors of 22644 that divides 22627 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 22627 and 22644. The biggest common factor number is the GCF number.
So the greatest common factor 22627 and 22644 is 17.

Also check out the Least Common Multiple of 22627 and 22644