What is the Greatest Common Factor of 5886 and 5904?

Greatest common factor (GCF) of 5886 and 5904 is 18.

GCF(5886,5904) = 18

We will now calculate the prime factors of 5886 and 5904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5886 and 5904.

How to find the GCF of 5886 and 5904?

We will first find the prime factorization of 5886 and 5904. After we will calculate the factors of 5886 and 5904 and find the biggest common factor number .

Step-1: Prime Factorization of 5886

Prime factors of 5886 are 2, 3, 109. Prime factorization of 5886 in exponential form is:

5886 = 2¹ × 3³ × 109¹

Step-2: 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-3: Factors of 5886

List of positive integer factors of 5886 that divides 5886 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943

Step-4: Factors of 5904

List of positive integer factors of 5904 that divides 5886 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5886 and 5904. The biggest common factor number is the GCF number.
So the greatest common factor 5886 and 5904 is 18.

Also check out the Least Common Multiple of 5886 and 5904