What is the Greatest Common Factor of 22228 and 22238?

Greatest common factor (GCF) of 22228 and 22238 is 2.

GCF(22228,22238) = 2

We will now calculate the prime factors of 22228 and 22238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22228 and 22238.

How to find the GCF of 22228 and 22238?

We will first find the prime factorization of 22228 and 22238. After we will calculate the factors of 22228 and 22238 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 22238

Prime factors of 22238 are 2, 11119. Prime factorization of 22238 in exponential form is:

22238 = 2¹ × 11119¹

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 22238

List of positive integer factors of 22238 that divides 22228 without a remainder.

1, 2, 11119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22228 and 22238. The biggest common factor number is the GCF number.
So the greatest common factor 22228 and 22238 is 2.

Also check out the Least Common Multiple of 22228 and 22238