What is the Greatest Common Factor of 5798 and 5811?

Greatest common factor (GCF) of 5798 and 5811 is 13.

GCF(5798,5811) = 13

We will now calculate the prime factors of 5798 and 5811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5798 and 5811.

How to find the GCF of 5798 and 5811?

We will first find the prime factorization of 5798 and 5811. After we will calculate the factors of 5798 and 5811 and find the biggest common factor number .

Step-1: Prime Factorization of 5798

Prime factors of 5798 are 2, 13, 223. Prime factorization of 5798 in exponential form is:

5798 = 2¹ × 13¹ × 223¹

Step-2: Prime Factorization of 5811

Prime factors of 5811 are 3, 13, 149. Prime factorization of 5811 in exponential form is:

5811 = 3¹ × 13¹ × 149¹

Step-3: Factors of 5798

List of positive integer factors of 5798 that divides 5798 without a remainder.

1, 2, 13, 26, 223, 446, 2899

Step-4: Factors of 5811

List of positive integer factors of 5811 that divides 5798 without a remainder.

1, 3, 13, 39, 149, 447, 1937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5798 and 5811. The biggest common factor number is the GCF number.
So the greatest common factor 5798 and 5811 is 13.

Also check out the Least Common Multiple of 5798 and 5811