What is the Greatest Common Factor of 22289 and 22300?

Greatest common factor (GCF) of 22289 and 22300 is 1.

GCF(22289,22300) = 1

We will now calculate the prime factors of 22289 and 22300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22289 and 22300.

How to find the GCF of 22289 and 22300?

We will first find the prime factorization of 22289 and 22300. After we will calculate the factors of 22289 and 22300 and find the biggest common factor number .

Step-1: Prime Factorization of 22289

Prime factors of 22289 are 31, 719. Prime factorization of 22289 in exponential form is:

22289 = 31¹ × 719¹

Step-2: 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-3: Factors of 22289

List of positive integer factors of 22289 that divides 22289 without a remainder.

1, 31, 719

Step-4: Factors of 22300

List of positive integer factors of 22300 that divides 22289 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22289 and 22300. The biggest common factor number is the GCF number.
So the greatest common factor 22289 and 22300 is 1.

Also check out the Least Common Multiple of 22289 and 22300