What is the Greatest Common Factor of 23709 and 23713?

Greatest common factor (GCF) of 23709 and 23713 is 1.

GCF(23709,23713) = 1

We will now calculate the prime factors of 23709 and 23713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23709 and 23713.

How to find the GCF of 23709 and 23713?

We will first find the prime factorization of 23709 and 23713. After we will calculate the factors of 23709 and 23713 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 23713

Prime factors of 23713 are 23, 1031. Prime factorization of 23713 in exponential form is:

23713 = 23¹ × 1031¹

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 23713

List of positive integer factors of 23713 that divides 23709 without a remainder.

1, 23, 1031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23709 and 23713. The biggest common factor number is the GCF number.
So the greatest common factor 23709 and 23713 is 1.

Also check out the Least Common Multiple of 23709 and 23713