Greatest Common Factor of 5724 and 5729

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 5724, 5729 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5724 and 5729 is 1.

GCF(5724,5729) = 1

GCF of 5724 and 5729

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

GCF of:
and

Greatest Common Factor of 5724 and 5729

GCF of 5724 and 5729 is 1

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

Prime Factorization of 5729


17 5729
337 337
1

Prime factors of 5729 are 17,337. Prime factorization of 5729 in exponential form is:

5729 = 171×3371

∴ So by taking common prime factors GCF of 5724 and 5729 is 1

Greatest Common Factor of 5724 and 5729 by matching factors method

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

Factors of 5729

List of positive integer factors of 5729 that divides 5729 without a remainder.

1,17,337,5729

Greatest Common Factor

We found the factors and prime factorization of 5724 and 5729. The biggest common factor number is the GCF number.
So the greatest common factor 5724 and 5729 is 1.

Also check out the Least Common Multiple of 5724 and 5729

Properties of GCF 5724 and 5729

(i) The GCF of 5724 and 5729 is associative

GCF of 5724 and 5729 = GCF of 5729 and 5724

Related Greatest Common Factor of 5724

Related Greatest Common Factor of 5729

Frequently Asked Questions on GCF of 5724 and 5729

1. What is the GCF of 5724 and 5729?

Answer: GCF of 5724 and 5729 is 1.

2. 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.

3. What are the Factors of 5729?

Answer: Factors of 5729 are 1, 17, 337, 5729. There are 4 integers that are factors of 5729. The greatest factor of 5729 is 5729.

4. How to Find the GCF of 5724 and 5729?

Answer:

Greatest Common Factor of 5724 and 5729 = 1

Step 1: Find the prime factorization of 5724

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

Step 2: Find the prime factorization of 5729

5729 = 17 x 337

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5724 and 5729 is 1