What is the Greatest Common Factor of 23793 and 23799?

Greatest common factor (GCF) of 23793 and 23799 is 3.

GCF(23793,23799) = 3

We will now calculate the prime factors of 23793 and 23799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23793 and 23799.

How to find the GCF of 23793 and 23799?

We will first find the prime factorization of 23793 and 23799. After we will calculate the factors of 23793 and 23799 and find the biggest common factor number .

Step-1: Prime Factorization of 23793

Prime factors of 23793 are 3, 7, 11, 103. Prime factorization of 23793 in exponential form is:

23793 = 3¹ × 7¹ × 11¹ × 103¹

Step-2: Prime Factorization of 23799

Prime factors of 23799 are 3, 7933. Prime factorization of 23799 in exponential form is:

23799 = 3¹ × 7933¹

Step-3: Factors of 23793

List of positive integer factors of 23793 that divides 23793 without a remainder.

1, 3, 7, 11, 21, 33, 77, 103, 231, 309, 721, 1133, 2163, 3399, 7931

Step-4: Factors of 23799

List of positive integer factors of 23799 that divides 23793 without a remainder.

1, 3, 7933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23793 and 23799. The biggest common factor number is the GCF number.
So the greatest common factor 23793 and 23799 is 3.

Also check out the Least Common Multiple of 23793 and 23799