What is the Greatest Common Factor of 22205 and 22222?

Greatest common factor (GCF) of 22205 and 22222 is 1.

GCF(22205,22222) = 1

We will now calculate the prime factors of 22205 and 22222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22205 and 22222.

How to find the GCF of 22205 and 22222?

We will first find the prime factorization of 22205 and 22222. After we will calculate the factors of 22205 and 22222 and find the biggest common factor number .

Step-1: Prime Factorization of 22205

Prime factors of 22205 are 5, 4441. Prime factorization of 22205 in exponential form is:

22205 = 5¹ × 4441¹

Step-2: Prime Factorization of 22222

Prime factors of 22222 are 2, 41, 271. Prime factorization of 22222 in exponential form is:

22222 = 2¹ × 41¹ × 271¹

Step-3: Factors of 22205

List of positive integer factors of 22205 that divides 22205 without a remainder.

1, 5, 4441

Step-4: Factors of 22222

List of positive integer factors of 22222 that divides 22205 without a remainder.

1, 2, 41, 82, 271, 542, 11111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22205 and 22222. The biggest common factor number is the GCF number.
So the greatest common factor 22205 and 22222 is 1.

Also check out the Least Common Multiple of 22205 and 22222