What is the Greatest Common Factor of 5823 and 5829?

Greatest common factor (GCF) of 5823 and 5829 is 3.

GCF(5823,5829) = 3

We will now calculate the prime factors of 5823 and 5829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5823 and 5829.

How to find the GCF of 5823 and 5829?

We will first find the prime factorization of 5823 and 5829. After we will calculate the factors of 5823 and 5829 and find the biggest common factor number .

Step-1: Prime Factorization of 5823

Prime factors of 5823 are 3, 647. Prime factorization of 5823 in exponential form is:

5823 = 3² × 647¹

Step-2: Prime Factorization of 5829

Prime factors of 5829 are 3, 29, 67. Prime factorization of 5829 in exponential form is:

5829 = 3¹ × 29¹ × 67¹

Step-3: Factors of 5823

List of positive integer factors of 5823 that divides 5823 without a remainder.

1, 3, 9, 647, 1941

Step-4: Factors of 5829

List of positive integer factors of 5829 that divides 5823 without a remainder.

1, 3, 29, 67, 87, 201, 1943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5823 and 5829. The biggest common factor number is the GCF number.
So the greatest common factor 5823 and 5829 is 3.

Also check out the Least Common Multiple of 5823 and 5829