What is the Greatest Common Factor of 23716 and 23723?

Greatest common factor (GCF) of 23716 and 23723 is 7.

GCF(23716,23723) = 7

We will now calculate the prime factors of 23716 and 23723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23716 and 23723.

How to find the GCF of 23716 and 23723?

We will first find the prime factorization of 23716 and 23723. After we will calculate the factors of 23716 and 23723 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23723

Prime factors of 23723 are 7, 3389. Prime factorization of 23723 in exponential form is:

23723 = 7¹ × 3389¹

Step-3: Factors of 23716

List of positive integer factors of 23716 that divides 23716 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

Step-4: Factors of 23723

List of positive integer factors of 23723 that divides 23716 without a remainder.

1, 7, 3389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23716 and 23723. The biggest common factor number is the GCF number.
So the greatest common factor 23716 and 23723 is 7.

Also check out the Least Common Multiple of 23716 and 23723