What is the Greatest Common Factor of 23892 and 23903?

Greatest common factor (GCF) of 23892 and 23903 is 11.

GCF(23892,23903) = 11

We will now calculate the prime factors of 23892 and 23903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23892 and 23903.

How to find the GCF of 23892 and 23903?

We will first find the prime factorization of 23892 and 23903. After we will calculate the factors of 23892 and 23903 and find the biggest common factor number .

Step-1: Prime Factorization of 23892

Prime factors of 23892 are 2, 3, 11, 181. Prime factorization of 23892 in exponential form is:

23892 = 2² × 3¹ × 11¹ × 181¹

Step-2: Prime Factorization of 23903

Prime factors of 23903 are 11, 41, 53. Prime factorization of 23903 in exponential form is:

23903 = 11¹ × 41¹ × 53¹

Step-3: Factors of 23892

List of positive integer factors of 23892 that divides 23892 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 181, 362, 543, 724, 1086, 1991, 2172, 3982, 5973, 7964, 11946

Step-4: Factors of 23903

List of positive integer factors of 23903 that divides 23892 without a remainder.

1, 11, 41, 53, 451, 583, 2173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23892 and 23903. The biggest common factor number is the GCF number.
So the greatest common factor 23892 and 23903 is 11.

Also check out the Least Common Multiple of 23892 and 23903