What is the Greatest Common Factor of 22300 and 22304?

Greatest common factor (GCF) of 22300 and 22304 is 4.

GCF(22300,22304) = 4

We will now calculate the prime factors of 22300 and 22304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22300 and 22304.

How to find the GCF of 22300 and 22304?

We will first find the prime factorization of 22300 and 22304. After we will calculate the factors of 22300 and 22304 and find the biggest common factor number .

Step-1: Prime Factorization of 22300

Prime factors of 22300 are 2, 5, 223. Prime factorization of 22300 in exponential form is:

22300 = 2² × 5² × 223¹

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 22300

List of positive integer factors of 22300 that divides 22300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 223, 446, 892, 1115, 2230, 4460, 5575, 11150

Step-4: Factors of 22304

List of positive integer factors of 22304 that divides 22300 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 22300 and 22304. The biggest common factor number is the GCF number.
So the greatest common factor 22300 and 22304 is 4.

Also check out the Least Common Multiple of 22300 and 22304