What is the Greatest Common Factor of 23385 and 23397?

Greatest common factor (GCF) of 23385 and 23397 is 3.

GCF(23385,23397) = 3

We will now calculate the prime factors of 23385 and 23397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23385 and 23397.

How to find the GCF of 23385 and 23397?

We will first find the prime factorization of 23385 and 23397. After we will calculate the factors of 23385 and 23397 and find the biggest common factor number .

Step-1: Prime Factorization of 23385

Prime factors of 23385 are 3, 5, 1559. Prime factorization of 23385 in exponential form is:

23385 = 3¹ × 5¹ × 1559¹

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 23385

List of positive integer factors of 23385 that divides 23385 without a remainder.

1, 3, 5, 15, 1559, 4677, 7795

Step-4: Factors of 23397

List of positive integer factors of 23397 that divides 23385 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23385 and 23397. The biggest common factor number is the GCF number.
So the greatest common factor 23385 and 23397 is 3.

Also check out the Least Common Multiple of 23385 and 23397