What is the Greatest Common Factor of 22629 and 22638?

Greatest common factor (GCF) of 22629 and 22638 is 3.

GCF(22629,22638) = 3

We will now calculate the prime factors of 22629 and 22638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22629 and 22638.

How to find the GCF of 22629 and 22638?

We will first find the prime factorization of 22629 and 22638. After we will calculate the factors of 22629 and 22638 and find the biggest common factor number .

Step-1: Prime Factorization of 22629

Prime factors of 22629 are 3, 19, 397. Prime factorization of 22629 in exponential form is:

22629 = 3¹ × 19¹ × 397¹

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 22629

List of positive integer factors of 22629 that divides 22629 without a remainder.

1, 3, 19, 57, 397, 1191, 7543

Step-4: Factors of 22638

List of positive integer factors of 22638 that divides 22629 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 22629 and 22638. The biggest common factor number is the GCF number.
So the greatest common factor 22629 and 22638 is 3.

Also check out the Least Common Multiple of 22629 and 22638