What is the Greatest Common Factor of 23709 and 23729?

Greatest common factor (GCF) of 23709 and 23729 is 1.

GCF(23709,23729) = 1

We will now calculate the prime factors of 23709 and 23729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23709 and 23729.

How to find the GCF of 23709 and 23729?

We will first find the prime factorization of 23709 and 23729. After we will calculate the factors of 23709 and 23729 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23729

Prime factors of 23729 are 61, 389. Prime factorization of 23729 in exponential form is:

23729 = 61¹ × 389¹

Step-3: Factors of 23709

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

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

Step-4: Factors of 23729

List of positive integer factors of 23729 that divides 23709 without a remainder.

1, 61, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23709 and 23729. The biggest common factor number is the GCF number.
So the greatest common factor 23709 and 23729 is 1.

Also check out the Least Common Multiple of 23709 and 23729