What is the Greatest Common Factor of 5824 and 5837?

Greatest common factor (GCF) of 5824 and 5837 is 13.

GCF(5824,5837) = 13

We will now calculate the prime factors of 5824 and 5837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5824 and 5837.

How to find the GCF of 5824 and 5837?

We will first find the prime factorization of 5824 and 5837. After we will calculate the factors of 5824 and 5837 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 5837

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

5837 = 13¹ × 449¹

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 5837

List of positive integer factors of 5837 that divides 5824 without a remainder.

1, 13, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5824 and 5837. The biggest common factor number is the GCF number.
So the greatest common factor 5824 and 5837 is 13.

Also check out the Least Common Multiple of 5824 and 5837