What is the Greatest Common Factor of 23709 and 23716?

Greatest common factor (GCF) of 23709 and 23716 is 7.

GCF(23709,23716) = 7

We will now calculate the prime factors of 23709 and 23716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23709 and 23716.

How to find the GCF of 23709 and 23716?

We will first find the prime factorization of 23709 and 23716. After we will calculate the factors of 23709 and 23716 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 23716

Prime factors of 23716 are 2, 7, 11. Prime factorization of 23716 in exponential form is:

23716 = 2² × 7² × 11²

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 23716

List of positive integer factors of 23716 that divides 23709 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 121, 154, 196, 242, 308, 484, 539, 847, 1078, 1694, 2156, 3388, 5929, 11858

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23709 and 23716. The biggest common factor number is the GCF number.
So the greatest common factor 23709 and 23716 is 7.

Also check out the Least Common Multiple of 23709 and 23716