What is the Greatest Common Factor of 5904 and 5916?

Greatest common factor (GCF) of 5904 and 5916 is 12.

GCF(5904,5916) = 12

We will now calculate the prime factors of 5904 and 5916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5904 and 5916.

How to find the GCF of 5904 and 5916?

We will first find the prime factorization of 5904 and 5916. After we will calculate the factors of 5904 and 5916 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 5916

Prime factors of 5916 are 2, 3, 17, 29. Prime factorization of 5916 in exponential form is:

5916 = 2² × 3¹ × 17¹ × 29¹

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 5916

List of positive integer factors of 5916 that divides 5904 without a remainder.

1, 2, 3, 4, 6, 12, 17, 29, 34, 51, 58, 68, 87, 102, 116, 174, 204, 348, 493, 986, 1479, 1972, 2958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5904 and 5916. The biggest common factor number is the GCF number.
So the greatest common factor 5904 and 5916 is 12.

Also check out the Least Common Multiple of 5904 and 5916