What is the Greatest Common Factor of 22627 and 22638?

Greatest common factor (GCF) of 22627 and 22638 is 11.

GCF(22627,22638) = 11

We will now calculate the prime factors of 22627 and 22638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22627 and 22638.

How to find the GCF of 22627 and 22638?

We will first find the prime factorization of 22627 and 22638. After we will calculate the factors of 22627 and 22638 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 22638

Prime factors of 22638 are 2, 3, 7, 11. Prime factorization of 22638 in exponential form is:

22638 = 2¹ × 3¹ × 7³ × 11¹

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 22638

List of positive integer factors of 22638 that divides 22627 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 343, 462, 539, 686, 1029, 1078, 1617, 2058, 3234, 3773, 7546, 11319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22627 and 22638. The biggest common factor number is the GCF number.
So the greatest common factor 22627 and 22638 is 11.

Also check out the Least Common Multiple of 22627 and 22638