Greatest Common Factor of 5824 and 5831

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, 5831 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5824 and 5831 is 7.

GCF(5824,5831) = 7

GCF of 5824 and 5831

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

GCF of:
and

Greatest Common Factor of 5824 and 5831

GCF of 5824 and 5831 is 7

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 5831


7 5831
7 833
7 119
17 17
1

Prime factors of 5831 are 7,17. Prime factorization of 5831 in exponential form is:

5831 = 73×171

∴ So by taking common prime factors GCF of 5824 and 5831 is 7

Greatest Common Factor of 5824 and 5831 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 5831

List of positive integer factors of 5831 that divides 5831 without a remainder.

1,7,17,49,119,343,833,5831

Greatest Common Factor

We found the factors and prime factorization of 5824 and 5831. The biggest common factor number is the GCF number.
So the greatest common factor 5824 and 5831 is 7.

Also check out the Least Common Multiple of 5824 and 5831

Properties of GCF 5824 and 5831

(i) The GCF of 5824 and 5831 is associative

GCF of 5824 and 5831 = GCF of 5831 and 5824

Related Greatest Common Factor of 5824

Related Greatest Common Factor of 5831

Frequently Asked Questions on GCF of 5824 and 5831

1. What is the GCF of 5824 and 5831?

Answer: GCF of 5824 and 5831 is 7.

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 5831?

Answer: Factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831. There are 8 integers that are factors of 5831. The greatest factor of 5831 is 5831.

4. How to Find the GCF of 5824 and 5831?

Answer:

Greatest Common Factor of 5824 and 5831 = 7

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 5831

5831 = 7 x 7 x 7 x 17

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5824 and 5831 is 7