What is the Greatest Common Factor of 5829 and 5837?

Greatest common factor (GCF) of 5829 and 5837 is 1.

GCF(5829,5837) = 1

We will now calculate the prime factors of 5829 and 5837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5829 and 5837.

How to find the GCF of 5829 and 5837?

We will first find the prime factorization of 5829 and 5837. After we will calculate the factors of 5829 and 5837 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 5837

Prime factors of 5837 are 13, 449. Prime factorization of 5837 in exponential form is:

5837 = 13¹ × 449¹

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 5837

List of positive integer factors of 5837 that divides 5829 without a remainder.

1, 13, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5829 and 5837. The biggest common factor number is the GCF number.
So the greatest common factor 5829 and 5837 is 1.

Also check out the Least Common Multiple of 5829 and 5837