What is the Greatest Common Factor of 22228 and 22241?

Greatest common factor (GCF) of 22228 and 22241 is 1.

GCF(22228,22241) = 1

We will now calculate the prime factors of 22228 and 22241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22228 and 22241.

How to find the GCF of 22228 and 22241?

We will first find the prime factorization of 22228 and 22241. After we will calculate the factors of 22228 and 22241 and find the biggest common factor number .

Step-1: Prime Factorization of 22228

Prime factors of 22228 are 2, 5557. Prime factorization of 22228 in exponential form is:

22228 = 2² × 5557¹

Step-2: Prime Factorization of 22241

Prime factors of 22241 are 23, 967. Prime factorization of 22241 in exponential form is:

22241 = 23¹ × 967¹

Step-3: Factors of 22228

List of positive integer factors of 22228 that divides 22228 without a remainder.

1, 2, 4, 5557, 11114

Step-4: Factors of 22241

List of positive integer factors of 22241 that divides 22228 without a remainder.

1, 23, 967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22228 and 22241. The biggest common factor number is the GCF number.
So the greatest common factor 22228 and 22241 is 1.

Also check out the Least Common Multiple of 22228 and 22241