What is the Greatest Common Factor of 23694 and 23709?

Greatest common factor (GCF) of 23694 and 23709 is 3.

GCF(23694,23709) = 3

We will now calculate the prime factors of 23694 and 23709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23694 and 23709.

How to find the GCF of 23694 and 23709?

We will first find the prime factorization of 23694 and 23709. After we will calculate the factors of 23694 and 23709 and find the biggest common factor number .

Step-1: Prime Factorization of 23694

Prime factors of 23694 are 2, 3, 11, 359. Prime factorization of 23694 in exponential form is:

23694 = 2¹ × 3¹ × 11¹ × 359¹

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 23694

List of positive integer factors of 23694 that divides 23694 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 359, 718, 1077, 2154, 3949, 7898, 11847

Step-4: Factors of 23709

List of positive integer factors of 23709 that divides 23694 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23694 and 23709. The biggest common factor number is the GCF number.
So the greatest common factor 23694 and 23709 is 3.

Also check out the Least Common Multiple of 23694 and 23709