Greatest Common Factor of 5824 and 5828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5824, 5828 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5824 and 5828 is 4.

GCF(5824,5828) = 4

GCF of 5824 and 5828

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5824 and 5828

GCF of 5824 and 5828 is 4

Prime Factorization of 5824


2 5824
2 2912
2 1456
2 728
2 364
2 182
7 91
13 13
1

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

5824 = 26×71×131

Prime Factorization of 5828


2 5828
2 2914
31 1457
47 47
1

Prime factors of 5828 are 2,31,47. Prime factorization of 5828 in exponential form is:

5828 = 22×311×471

∴ So by taking common prime factors GCF of 5824 and 5828 is 4

Greatest Common Factor of 5824 and 5828 by matching factors method

Factors of 5824

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

1,2,4,7,8,13,14,16,26,28,32,52,56,64,91,104,112,182,208,224,364,416,448,728,832,1456,2912,5824

Factors of 5828

List of positive integer factors of 5828 that divides 5828 without a remainder.

1,2,4,31,47,62,94,124,188,1457,2914,5828

Greatest Common Factor

We found the factors and prime factorization of 5824 and 5828. The biggest common factor number is the GCF number.
So the greatest common factor 5824 and 5828 is 4.

Also check out the Least Common Multiple of 5824 and 5828

Properties of GCF 5824 and 5828

(i) The GCF of 5824 and 5828 is associative

GCF of 5824 and 5828 = GCF of 5828 and 5824

Related Greatest Common Factor of 5824

Related Greatest Common Factor of 5828

Frequently Asked Questions on GCF of 5824 and 5828

1. What is the GCF of 5824 and 5828?

Answer: GCF of 5824 and 5828 is 4.

2. What are the Factors of 5824?

Answer: Factors of 5824 are 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, 5824. There are 28 integers that are factors of 5824. The greatest factor of 5824 is 5824.

3. What are the Factors of 5828?

Answer: Factors of 5828 are 1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828. There are 12 integers that are factors of 5828. The greatest factor of 5828 is 5828.

4. How to Find the GCF of 5824 and 5828?

Answer:

Greatest Common Factor of 5824 and 5828 = 4

Step 1: Find the prime factorization of 5824

5824 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 13

Step 2: Find the prime factorization of 5828

5828 = 2 x 2 x 31 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5824 and 5828 is 4