What is the Greatest Common Factor of 5916 and 5933?

Greatest common factor (GCF) of 5916 and 5933 is 17.

GCF(5916,5933) = 17

We will now calculate the prime factors of 5916 and 5933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5916 and 5933.

How to find the GCF of 5916 and 5933?

We will first find the prime factorization of 5916 and 5933. After we will calculate the factors of 5916 and 5933 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5933

Prime factors of 5933 are 17, 349. Prime factorization of 5933 in exponential form is:

5933 = 17¹ × 349¹

Step-3: Factors of 5916

List of positive integer factors of 5916 that divides 5916 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

Step-4: Factors of 5933

List of positive integer factors of 5933 that divides 5916 without a remainder.

1, 17, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5916 and 5933. The biggest common factor number is the GCF number.
So the greatest common factor 5916 and 5933 is 17.

Also check out the Least Common Multiple of 5916 and 5933