What is the Greatest Common Factor of 5892 and 5904?

Greatest common factor (GCF) of 5892 and 5904 is 12.

GCF(5892,5904) = 12

We will now calculate the prime factors of 5892 and 5904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5892 and 5904.

How to find the GCF of 5892 and 5904?

We will first find the prime factorization of 5892 and 5904. After we will calculate the factors of 5892 and 5904 and find the biggest common factor number .

Step-1: Prime Factorization of 5892

Prime factors of 5892 are 2, 3, 491. Prime factorization of 5892 in exponential form is:

5892 = 2² × 3¹ × 491¹

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 5892

List of positive integer factors of 5892 that divides 5892 without a remainder.

1, 2, 3, 4, 6, 12, 491, 982, 1473, 1964, 2946

Step-4: Factors of 5904

List of positive integer factors of 5904 that divides 5892 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 5892 and 5904. The biggest common factor number is the GCF number.
So the greatest common factor 5892 and 5904 is 12.

Also check out the Least Common Multiple of 5892 and 5904