What is the Greatest Common Factor of 5829 and 5838?

Greatest common factor (GCF) of 5829 and 5838 is 3.

GCF(5829,5838) = 3

We will now calculate the prime factors of 5829 and 5838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5829 and 5838.

How to find the GCF of 5829 and 5838?

We will first find the prime factorization of 5829 and 5838. After we will calculate the factors of 5829 and 5838 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 5838

Prime factors of 5838 are 2, 3, 7, 139. Prime factorization of 5838 in exponential form is:

5838 = 2¹ × 3¹ × 7¹ × 139¹

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 5838

List of positive integer factors of 5838 that divides 5829 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5829 and 5838. The biggest common factor number is the GCF number.
So the greatest common factor 5829 and 5838 is 3.

Also check out the Least Common Multiple of 5829 and 5838