Greatest Common Factor of 5729 and 5734

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 5729, 5734 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5729 and 5734 is 1.

GCF(5729,5734) = 1

GCF of 5729 and 5734

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

GCF of:
and

Greatest Common Factor of 5729 and 5734

GCF of 5729 and 5734 is 1

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

Prime Factorization of 5734


2 5734
47 2867
61 61
1

Prime factors of 5734 are 2,47,61. Prime factorization of 5734 in exponential form is:

5734 = 21×471×611

∴ So by taking common prime factors GCF of 5729 and 5734 is 1

Greatest Common Factor of 5729 and 5734 by matching factors method

Factors of 5729

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

1,17,337,5729

Factors of 5734

List of positive integer factors of 5734 that divides 5734 without a remainder.

1,2,47,61,94,122,2867,5734

Greatest Common Factor

We found the factors and prime factorization of 5729 and 5734. The biggest common factor number is the GCF number.
So the greatest common factor 5729 and 5734 is 1.

Also check out the Least Common Multiple of 5729 and 5734

Properties of GCF 5729 and 5734

(i) The GCF of 5729 and 5734 is associative

GCF of 5729 and 5734 = GCF of 5734 and 5729

Related Greatest Common Factor of 5729

Related Greatest Common Factor of 5734

Frequently Asked Questions on GCF of 5729 and 5734

1. What is the GCF of 5729 and 5734?

Answer: GCF of 5729 and 5734 is 1.

2. 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.

3. What are the Factors of 5734?

Answer: Factors of 5734 are 1, 2, 47, 61, 94, 122, 2867, 5734. There are 8 integers that are factors of 5734. The greatest factor of 5734 is 5734.

4. How to Find the GCF of 5729 and 5734?

Answer:

Greatest Common Factor of 5729 and 5734 = 1

Step 1: Find the prime factorization of 5729

5729 = 17 x 337

Step 2: Find the prime factorization of 5734

5734 = 2 x 47 x 61

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 5729 and 5734 is 1