What is the Greatest Common Factor of 5904 and 5919?

Greatest common factor (GCF) of 5904 and 5919 is 3.

GCF(5904,5919) = 3

We will now calculate the prime factors of 5904 and 5919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5904 and 5919.

How to find the GCF of 5904 and 5919?

We will first find the prime factorization of 5904 and 5919. After we will calculate the factors of 5904 and 5919 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 5919

Prime factors of 5919 are 3, 1973. Prime factorization of 5919 in exponential form is:

5919 = 3¹ × 1973¹

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 5919

List of positive integer factors of 5919 that divides 5904 without a remainder.

1, 3, 1973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5904 and 5919. The biggest common factor number is the GCF number.
So the greatest common factor 5904 and 5919 is 3.

Also check out the Least Common Multiple of 5904 and 5919