What is the Greatest Common Factor of 5904 and 5922?

Greatest common factor (GCF) of 5904 and 5922 is 18.

GCF(5904,5922) = 18

We will now calculate the prime factors of 5904 and 5922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5904 and 5922.

How to find the GCF of 5904 and 5922?

We will first find the prime factorization of 5904 and 5922. After we will calculate the factors of 5904 and 5922 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 5922

Prime factors of 5922 are 2, 3, 7, 47. Prime factorization of 5922 in exponential form is:

5922 = 2¹ × 3² × 7¹ × 47¹

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 5922

List of positive integer factors of 5922 that divides 5904 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 47, 63, 94, 126, 141, 282, 329, 423, 658, 846, 987, 1974, 2961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5904 and 5922. The biggest common factor number is the GCF number.
So the greatest common factor 5904 and 5922 is 18.

Also check out the Least Common Multiple of 5904 and 5922