What is the Greatest Common Factor of 23323 and 23330?

Greatest common factor (GCF) of 23323 and 23330 is 1.

GCF(23323,23330) = 1

We will now calculate the prime factors of 23323 and 23330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23323 and 23330.

How to find the GCF of 23323 and 23330?

We will first find the prime factorization of 23323 and 23330. After we will calculate the factors of 23323 and 23330 and find the biggest common factor number .

Step-1: Prime Factorization of 23323

Prime factors of 23323 are 83, 281. Prime factorization of 23323 in exponential form is:

23323 = 83¹ × 281¹

Step-2: Prime Factorization of 23330

Prime factors of 23330 are 2, 5, 2333. Prime factorization of 23330 in exponential form is:

23330 = 2¹ × 5¹ × 2333¹

Step-3: Factors of 23323

List of positive integer factors of 23323 that divides 23323 without a remainder.

1, 83, 281

Step-4: Factors of 23330

List of positive integer factors of 23330 that divides 23323 without a remainder.

1, 2, 5, 10, 2333, 4666, 11665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23323 and 23330. The biggest common factor number is the GCF number.
So the greatest common factor 23323 and 23330 is 1.

Also check out the Least Common Multiple of 23323 and 23330