What is the Greatest Common Factor of 5814 and 5831?

Greatest common factor (GCF) of 5814 and 5831 is 17.

GCF(5814,5831) = 17

We will now calculate the prime factors of 5814 and 5831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5814 and 5831.

How to find the GCF of 5814 and 5831?

We will first find the prime factorization of 5814 and 5831. After we will calculate the factors of 5814 and 5831 and find the biggest common factor number .

Step-1: Prime Factorization of 5814

Prime factors of 5814 are 2, 3, 17, 19. Prime factorization of 5814 in exponential form is:

5814 = 2¹ × 3² × 17¹ × 19¹

Step-2: Prime Factorization of 5831

Prime factors of 5831 are 7, 17. Prime factorization of 5831 in exponential form is:

5831 = 7³ × 17¹

Step-3: Factors of 5814

List of positive integer factors of 5814 that divides 5814 without a remainder.

1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907

Step-4: Factors of 5831

List of positive integer factors of 5831 that divides 5814 without a remainder.

1, 7, 17, 49, 119, 343, 833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5814 and 5831. The biggest common factor number is the GCF number.
So the greatest common factor 5814 and 5831 is 17.

Also check out the Least Common Multiple of 5814 and 5831