What is the Greatest Common Factor of 5824 and 5829?

Greatest common factor (GCF) of 5824 and 5829 is 1.

GCF(5824,5829) = 1

We will now calculate the prime factors of 5824 and 5829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5824 and 5829.

How to find the GCF of 5824 and 5829?

We will first find the prime factorization of 5824 and 5829. After we will calculate the factors of 5824 and 5829 and find the biggest common factor number .

Step-1: Prime Factorization of 5824

Prime factors of 5824 are 2, 7, 13. Prime factorization of 5824 in exponential form is:

5824 = 2⁶ × 7¹ × 13¹

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 5824

List of positive integer factors of 5824 that divides 5824 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 182, 208, 224, 364, 416, 448, 728, 832, 1456, 2912

Step-4: Factors of 5829

List of positive integer factors of 5829 that divides 5824 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5824 and 5829. The biggest common factor number is the GCF number.
So the greatest common factor 5824 and 5829 is 1.

Also check out the Least Common Multiple of 5824 and 5829