Greatest Common Factor of 5720 and 5724

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 5720, 5724 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5720 and 5724 is 4.

GCF(5720,5724) = 4

GCF of 5720 and 5724

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

GCF of:
and

Greatest Common Factor of 5720 and 5724

GCF of 5720 and 5724 is 4

Prime Factorization of 5720


2 5720
2 2860
2 1430
5 715
11 143
13 13
1

Prime factors of 5720 are 2,5,11,13. Prime factorization of 5720 in exponential form is:

5720 = 23×51×111×131

Prime Factorization of 5724


2 5724
2 2862
3 1431
3 477
3 159
53 53
1

Prime factors of 5724 are 2,3,53. Prime factorization of 5724 in exponential form is:

5724 = 22×33×531

∴ So by taking common prime factors GCF of 5720 and 5724 is 4

Greatest Common Factor of 5720 and 5724 by matching factors method

Factors of 5720

List of positive integer factors of 5720 that divides 5720 without a remainder.

1,2,4,5,8,10,11,13,20,22,26,40,44,52,55,65,88,104,110,130,143,220,260,286,440,520,572,715,1144,1430,2860,5720

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Greatest Common Factor

We found the factors and prime factorization of 5720 and 5724. The biggest common factor number is the GCF number.
So the greatest common factor 5720 and 5724 is 4.

Also check out the Least Common Multiple of 5720 and 5724

Properties of GCF 5720 and 5724

(i) The GCF of 5720 and 5724 is associative

GCF of 5720 and 5724 = GCF of 5724 and 5720

Related Greatest Common Factor of 5720

Related Greatest Common Factor of 5724

Frequently Asked Questions on GCF of 5720 and 5724

1. What is the GCF of 5720 and 5724?

Answer: GCF of 5720 and 5724 is 4.

2. What are the Factors of 5720?

Answer: Factors of 5720 are 1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720. There are 32 integers that are factors of 5720. The greatest factor of 5720 is 5720.

3. What are the Factors of 5724?

Answer: Factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724. There are 24 integers that are factors of 5724. The greatest factor of 5724 is 5724.

4. How to Find the GCF of 5720 and 5724?

Answer:

Greatest Common Factor of 5720 and 5724 = 4

Step 1: Find the prime factorization of 5720

5720 = 2 x 2 x 2 x 5 x 11 x 13

Step 2: Find the prime factorization of 5724

5724 = 2 x 2 x 3 x 3 x 3 x 53

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 5720 and 5724 is 4