Greatest Common Factor of 5820 and 5824

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 5820, 5824 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5820 and 5824 is 4.

GCF(5820,5824) = 4

GCF of 5820 and 5824

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

GCF of:
and

Greatest Common Factor of 5820 and 5824

GCF of 5820 and 5824 is 4

Prime Factorization of 5820


2 5820
2 2910
3 1455
5 485
97 97
1

Prime factors of 5820 are 2,3,5,97. Prime factorization of 5820 in exponential form is:

5820 = 22×31×51×971

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

∴ So by taking common prime factors GCF of 5820 and 5824 is 4

Greatest Common Factor of 5820 and 5824 by matching factors method

Factors of 5820

List of positive integer factors of 5820 that divides 5820 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,97,194,291,388,485,582,970,1164,1455,1940,2910,5820

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

Greatest Common Factor

We found the factors and prime factorization of 5820 and 5824. The biggest common factor number is the GCF number.
So the greatest common factor 5820 and 5824 is 4.

Also check out the Least Common Multiple of 5820 and 5824

Properties of GCF 5820 and 5824

(i) The GCF of 5820 and 5824 is associative

GCF of 5820 and 5824 = GCF of 5824 and 5820

Related Greatest Common Factor of 5820

Related Greatest Common Factor of 5824

Frequently Asked Questions on GCF of 5820 and 5824

1. What is the GCF of 5820 and 5824?

Answer: GCF of 5820 and 5824 is 4.

2. What are the Factors of 5820?

Answer: Factors of 5820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820. There are 24 integers that are factors of 5820. The greatest factor of 5820 is 5820.

3. 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.

4. How to Find the GCF of 5820 and 5824?

Answer:

Greatest Common Factor of 5820 and 5824 = 4

Step 1: Find the prime factorization of 5820

5820 = 2 x 2 x 3 x 5 x 97

Step 2: Find the prime factorization of 5824

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

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 5820 and 5824 is 4