What is the Greatest Common Factor of 5916 and 5931?

Greatest common factor (GCF) of 5916 and 5931 is 3.

GCF(5916,5931) = 3

We will now calculate the prime factors of 5916 and 5931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5916 and 5931.

How to find the GCF of 5916 and 5931?

We will first find the prime factorization of 5916 and 5931. After we will calculate the factors of 5916 and 5931 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 5931

Prime factors of 5931 are 3, 659. Prime factorization of 5931 in exponential form is:

5931 = 3² × 659¹

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 5931

List of positive integer factors of 5931 that divides 5916 without a remainder.

1, 3, 9, 659, 1977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5916 and 5931. The biggest common factor number is the GCF number.
So the greatest common factor 5916 and 5931 is 3.

Also check out the Least Common Multiple of 5916 and 5931