What is the Greatest Common Factor of 5824 and 5832?

Greatest common factor (GCF) of 5824 and 5832 is 8.

GCF(5824,5832) = 8

We will now calculate the prime factors of 5824 and 5832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5824 and 5832.

How to find the GCF of 5824 and 5832?

We will first find the prime factorization of 5824 and 5832. After we will calculate the factors of 5824 and 5832 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 5832

Prime factors of 5832 are 2, 3. Prime factorization of 5832 in exponential form is:

5832 = 2³ × 3⁶

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 5832

List of positive integer factors of 5832 that divides 5824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5824 and 5832. The biggest common factor number is the GCF number.
So the greatest common factor 5824 and 5832 is 8.

Also check out the Least Common Multiple of 5824 and 5832