What is the Greatest Common Factor of 5817 and 5831?

Greatest common factor (GCF) of 5817 and 5831 is 7.

GCF(5817,5831) = 7

We will now calculate the prime factors of 5817 and 5831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5817 and 5831.

How to find the GCF of 5817 and 5831?

We will first find the prime factorization of 5817 and 5831. After we will calculate the factors of 5817 and 5831 and find the biggest common factor number .

Step-1: Prime Factorization of 5817

Prime factors of 5817 are 3, 7, 277. Prime factorization of 5817 in exponential form is:

5817 = 3¹ × 7¹ × 277¹

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 5817

List of positive integer factors of 5817 that divides 5817 without a remainder.

1, 3, 7, 21, 277, 831, 1939

Step-4: Factors of 5831

List of positive integer factors of 5831 that divides 5817 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5817 and 5831. The biggest common factor number is the GCF number.
So the greatest common factor 5817 and 5831 is 7.

Also check out the Least Common Multiple of 5817 and 5831