What is the Greatest Common Factor of 22242 and 22257?

Greatest common factor (GCF) of 22242 and 22257 is 3.

GCF(22242,22257) = 3

We will now calculate the prime factors of 22242 and 22257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22242 and 22257.

How to find the GCF of 22242 and 22257?

We will first find the prime factorization of 22242 and 22257. After we will calculate the factors of 22242 and 22257 and find the biggest common factor number .

Step-1: Prime Factorization of 22242

Prime factors of 22242 are 2, 3, 11, 337. Prime factorization of 22242 in exponential form is:

22242 = 2¹ × 3¹ × 11¹ × 337¹

Step-2: Prime Factorization of 22257

Prime factors of 22257 are 3, 2473. Prime factorization of 22257 in exponential form is:

22257 = 3² × 2473¹

Step-3: Factors of 22242

List of positive integer factors of 22242 that divides 22242 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 337, 674, 1011, 2022, 3707, 7414, 11121

Step-4: Factors of 22257

List of positive integer factors of 22257 that divides 22242 without a remainder.

1, 3, 9, 2473, 7419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22242 and 22257. The biggest common factor number is the GCF number.
So the greatest common factor 22242 and 22257 is 3.

Also check out the Least Common Multiple of 22242 and 22257