What is the Greatest Common Factor of 23382 and 23397?

Greatest common factor (GCF) of 23382 and 23397 is 3.

GCF(23382,23397) = 3

We will now calculate the prime factors of 23382 and 23397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23382 and 23397.

How to find the GCF of 23382 and 23397?

We will first find the prime factorization of 23382 and 23397. After we will calculate the factors of 23382 and 23397 and find the biggest common factor number .

Step-1: Prime Factorization of 23382

Prime factors of 23382 are 2, 3, 433. Prime factorization of 23382 in exponential form is:

23382 = 2¹ × 3³ × 433¹

Step-2: Prime Factorization of 23397

Prime factors of 23397 are 3, 11, 709. Prime factorization of 23397 in exponential form is:

23397 = 3¹ × 11¹ × 709¹

Step-3: Factors of 23382

List of positive integer factors of 23382 that divides 23382 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 433, 866, 1299, 2598, 3897, 7794, 11691

Step-4: Factors of 23397

List of positive integer factors of 23397 that divides 23382 without a remainder.

1, 3, 11, 33, 709, 2127, 7799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23382 and 23397. The biggest common factor number is the GCF number.
So the greatest common factor 23382 and 23397 is 3.

Also check out the Least Common Multiple of 23382 and 23397