What is the Greatest Common Factor of 5824 and 5843?

Greatest common factor (GCF) of 5824 and 5843 is 1.

GCF(5824,5843) = 1

We will now calculate the prime factors of 5824 and 5843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5824 and 5843.

How to find the GCF of 5824 and 5843?

We will first find the prime factorization of 5824 and 5843. After we will calculate the factors of 5824 and 5843 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 5843

Prime factors of 5843 are 5843. Prime factorization of 5843 in exponential form is:

5843 = 5843¹

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 5843

List of positive integer factors of 5843 that divides 5824 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5824 and 5843. The biggest common factor number is the GCF number.
So the greatest common factor 5824 and 5843 is 1.

Also check out the Least Common Multiple of 5824 and 5843