What is the Greatest Common Factor of 22297 and 22304?

Greatest common factor (GCF) of 22297 and 22304 is 1.

GCF(22297,22304) = 1

We will now calculate the prime factors of 22297 and 22304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22297 and 22304.

How to find the GCF of 22297 and 22304?

We will first find the prime factorization of 22297 and 22304. After we will calculate the factors of 22297 and 22304 and find the biggest common factor number .

Step-1: Prime Factorization of 22297

Prime factors of 22297 are 11, 2027. Prime factorization of 22297 in exponential form is:

22297 = 11¹ × 2027¹

Step-2: Prime Factorization of 22304

Prime factors of 22304 are 2, 17, 41. Prime factorization of 22304 in exponential form is:

22304 = 2⁵ × 17¹ × 41¹

Step-3: Factors of 22297

List of positive integer factors of 22297 that divides 22297 without a remainder.

1, 11, 2027

Step-4: Factors of 22304

List of positive integer factors of 22304 that divides 22297 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 41, 68, 82, 136, 164, 272, 328, 544, 656, 697, 1312, 1394, 2788, 5576, 11152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22297 and 22304. The biggest common factor number is the GCF number.
So the greatest common factor 22297 and 22304 is 1.

Also check out the Least Common Multiple of 22297 and 22304