What is the Greatest Common Factor of 23300 and 23311?

Greatest common factor (GCF) of 23300 and 23311 is 1.

GCF(23300,23311) = 1

We will now calculate the prime factors of 23300 and 23311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23300 and 23311.

How to find the GCF of 23300 and 23311?

We will first find the prime factorization of 23300 and 23311. After we will calculate the factors of 23300 and 23311 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 23311

Prime factors of 23311 are 23311. Prime factorization of 23311 in exponential form is:

23311 = 23311¹

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 23311

List of positive integer factors of 23311 that divides 23300 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23300 and 23311. The biggest common factor number is the GCF number.
So the greatest common factor 23300 and 23311 is 1.

Also check out the Least Common Multiple of 23300 and 23311