What is the Greatest Common Factor of 22629 and 22641?

Greatest common factor (GCF) of 22629 and 22641 is 3.

GCF(22629,22641) = 3

We will now calculate the prime factors of 22629 and 22641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22629 and 22641.

How to find the GCF of 22629 and 22641?

We will first find the prime factorization of 22629 and 22641. After we will calculate the factors of 22629 and 22641 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 22641

Prime factors of 22641 are 3, 7547. Prime factorization of 22641 in exponential form is:

22641 = 3¹ × 7547¹

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 22641

List of positive integer factors of 22641 that divides 22629 without a remainder.

1, 3, 7547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22629 and 22641. The biggest common factor number is the GCF number.
So the greatest common factor 22629 and 22641 is 3.

Also check out the Least Common Multiple of 22629 and 22641