What is the Greatest Common Factor of 5904 and 5923?

Greatest common factor (GCF) of 5904 and 5923 is 1.

GCF(5904,5923) = 1

We will now calculate the prime factors of 5904 and 5923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5904 and 5923.

How to find the GCF of 5904 and 5923?

We will first find the prime factorization of 5904 and 5923. After we will calculate the factors of 5904 and 5923 and find the biggest common factor number .

Step-1: Prime Factorization of 5904

Prime factors of 5904 are 2, 3, 41. Prime factorization of 5904 in exponential form is:

5904 = 2⁴ × 3² × 41¹

Step-2: Prime Factorization of 5923

Prime factors of 5923 are 5923. Prime factorization of 5923 in exponential form is:

5923 = 5923¹

Step-3: Factors of 5904

List of positive integer factors of 5904 that divides 5904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952

Step-4: Factors of 5923

List of positive integer factors of 5923 that divides 5904 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5904 and 5923. The biggest common factor number is the GCF number.
So the greatest common factor 5904 and 5923 is 1.

Also check out the Least Common Multiple of 5904 and 5923