What is the Greatest Common Factor of 22228 and 22243?

Greatest common factor (GCF) of 22228 and 22243 is 1.

GCF(22228,22243) = 1

We will now calculate the prime factors of 22228 and 22243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22228 and 22243.

How to find the GCF of 22228 and 22243?

We will first find the prime factorization of 22228 and 22243. After we will calculate the factors of 22228 and 22243 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 22243

Prime factors of 22243 are 13, 29, 59. Prime factorization of 22243 in exponential form is:

22243 = 13¹ × 29¹ × 59¹

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 22243

List of positive integer factors of 22243 that divides 22228 without a remainder.

1, 13, 29, 59, 377, 767, 1711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22228 and 22243. The biggest common factor number is the GCF number.
So the greatest common factor 22228 and 22243 is 1.

Also check out the Least Common Multiple of 22228 and 22243