Greatest Common Factor of 5824 and 5830

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, 5830 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5824 and 5830 is 2.

GCF(5824,5830) = 2

GCF of 5824 and 5830

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

GCF of:
and

Greatest Common Factor of 5824 and 5830

GCF of 5824 and 5830 is 2

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 5830


2 5830
5 2915
11 583
53 53
1

Prime factors of 5830 are 2,5,11,53. Prime factorization of 5830 in exponential form is:

5830 = 21×51×111×531

∴ So by taking common prime factors GCF of 5824 and 5830 is 2

Greatest Common Factor of 5824 and 5830 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 5830

List of positive integer factors of 5830 that divides 5830 without a remainder.

1,2,5,10,11,22,53,55,106,110,265,530,583,1166,2915,5830

Greatest Common Factor

We found the factors and prime factorization of 5824 and 5830. The biggest common factor number is the GCF number.
So the greatest common factor 5824 and 5830 is 2.

Also check out the Least Common Multiple of 5824 and 5830

Properties of GCF 5824 and 5830

(i) The GCF of 5824 and 5830 is associative

GCF of 5824 and 5830 = GCF of 5830 and 5824

Related Greatest Common Factor of 5824

Related Greatest Common Factor of 5830

Frequently Asked Questions on GCF of 5824 and 5830

1. What is the GCF of 5824 and 5830?

Answer: GCF of 5824 and 5830 is 2.

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 5830?

Answer: Factors of 5830 are 1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915, 5830. There are 16 integers that are factors of 5830. The greatest factor of 5830 is 5830.

4. How to Find the GCF of 5824 and 5830?

Answer:

Greatest Common Factor of 5824 and 5830 = 2

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 5830

5830 = 2 x 5 x 11 x 53

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5824 and 5830 is 2