What is the Greatest Common Factor of 5829 and 5833?

Greatest common factor (GCF) of 5829 and 5833 is 1.

GCF(5829,5833) = 1

We will now calculate the prime factors of 5829 and 5833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5829 and 5833.

How to find the GCF of 5829 and 5833?

We will first find the prime factorization of 5829 and 5833. After we will calculate the factors of 5829 and 5833 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5833

Prime factors of 5833 are 19, 307. Prime factorization of 5833 in exponential form is:

5833 = 19¹ × 307¹

Step-3: Factors of 5829

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

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

Step-4: Factors of 5833

List of positive integer factors of 5833 that divides 5829 without a remainder.

1, 19, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5829 and 5833. The biggest common factor number is the GCF number.
So the greatest common factor 5829 and 5833 is 1.

Also check out the Least Common Multiple of 5829 and 5833