Greatest Common Factor of 9729 and 9731

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 9729, 9731 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9729 and 9731 is 1.

GCF(9729,9731) = 1

GCF of 9729 and 9731

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

GCF of:
and

Greatest Common Factor of 9729 and 9731

GCF of 9729 and 9731 is 1

Prime Factorization of 9729


3 9729
3 3243
23 1081
47 47
1

Prime factors of 9729 are 3,23,47. Prime factorization of 9729 in exponential form is:

9729 = 32×231×471

Prime Factorization of 9731


37 9731
263 263
1

Prime factors of 9731 are 37,263. Prime factorization of 9731 in exponential form is:

9731 = 371×2631

∴ So by taking common prime factors GCF of 9729 and 9731 is 1

Greatest Common Factor of 9729 and 9731 by matching factors method

Factors of 9729

List of positive integer factors of 9729 that divides 9729 without a remainder.

1,3,9,23,47,69,141,207,423,1081,3243,9729

Factors of 9731

List of positive integer factors of 9731 that divides 9731 without a remainder.

1,37,263,9731

Greatest Common Factor

We found the factors and prime factorization of 9729 and 9731. The biggest common factor number is the GCF number.
So the greatest common factor 9729 and 9731 is 1.

Also check out the Least Common Multiple of 9729 and 9731

Properties of GCF 9729 and 9731

(i) The GCF of 9729 and 9731 is associative

GCF of 9729 and 9731 = GCF of 9731 and 9729

Related Greatest Common Factor of 9729

Related Greatest Common Factor of 9731

Frequently Asked Questions on GCF of 9729 and 9731

1. What is the GCF of 9729 and 9731?

Answer: GCF of 9729 and 9731 is 1.

2. What are the Factors of 9729?

Answer: Factors of 9729 are 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729. There are 12 integers that are factors of 9729. The greatest factor of 9729 is 9729.

3. What are the Factors of 9731?

Answer: Factors of 9731 are 1, 37, 263, 9731. There are 4 integers that are factors of 9731. The greatest factor of 9731 is 9731.

4. How to Find the GCF of 9729 and 9731?

Answer:

Greatest Common Factor of 9729 and 9731 = 1

Step 1: Find the prime factorization of 9729

9729 = 3 x 3 x 23 x 47

Step 2: Find the prime factorization of 9731

9731 = 37 x 263

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 9729 and 9731 is 1