What is the Greatest Common Factor of 23300 and 23309?

Greatest common factor (GCF) of 23300 and 23309 is 1.

GCF(23300,23309) = 1

We will now calculate the prime factors of 23300 and 23309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23300 and 23309.

How to find the GCF of 23300 and 23309?

We will first find the prime factorization of 23300 and 23309. After we will calculate the factors of 23300 and 23309 and find the biggest common factor number .

Step-1: Prime Factorization of 23300

Prime factors of 23300 are 2, 5, 233. Prime factorization of 23300 in exponential form is:

23300 = 2² × 5² × 233¹

Step-2: Prime Factorization of 23309

Prime factors of 23309 are 11, 13, 163. Prime factorization of 23309 in exponential form is:

23309 = 11¹ × 13¹ × 163¹

Step-3: Factors of 23300

List of positive integer factors of 23300 that divides 23300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 233, 466, 932, 1165, 2330, 4660, 5825, 11650

Step-4: Factors of 23309

List of positive integer factors of 23309 that divides 23300 without a remainder.

1, 11, 13, 143, 163, 1793, 2119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23300 and 23309. The biggest common factor number is the GCF number.
So the greatest common factor 23300 and 23309 is 1.

Also check out the Least Common Multiple of 23300 and 23309