What is the Greatest Common Factor of 23697 and 23709?

Greatest common factor (GCF) of 23697 and 23709 is 3.

GCF(23697,23709) = 3

We will now calculate the prime factors of 23697 and 23709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23697 and 23709.

How to find the GCF of 23697 and 23709?

We will first find the prime factorization of 23697 and 23709. After we will calculate the factors of 23697 and 23709 and find the biggest common factor number .

Step-1: Prime Factorization of 23697

Prime factors of 23697 are 3, 2633. Prime factorization of 23697 in exponential form is:

23697 = 3² × 2633¹

Step-2: Prime Factorization of 23709

Prime factors of 23709 are 3, 7, 1129. Prime factorization of 23709 in exponential form is:

23709 = 3¹ × 7¹ × 1129¹

Step-3: Factors of 23697

List of positive integer factors of 23697 that divides 23697 without a remainder.

1, 3, 9, 2633, 7899

Step-4: Factors of 23709

List of positive integer factors of 23709 that divides 23697 without a remainder.

1, 3, 7, 21, 1129, 3387, 7903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23697 and 23709. The biggest common factor number is the GCF number.
So the greatest common factor 23697 and 23709 is 3.

Also check out the Least Common Multiple of 23697 and 23709