Greatest Common Factor of 7731 and 7734

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 7731, 7734 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7731 and 7734 is 3.

GCF(7731,7734) = 3

GCF of 7731 and 7734

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

GCF of:
and

Greatest Common Factor of 7731 and 7734

GCF of 7731 and 7734 is 3

Prime Factorization of 7731


3 7731
3 2577
859 859
1

Prime factors of 7731 are 3,859. Prime factorization of 7731 in exponential form is:

7731 = 32×8591

Prime Factorization of 7734


2 7734
3 3867
1289 1289
1

Prime factors of 7734 are 2,3,1289. Prime factorization of 7734 in exponential form is:

7734 = 21×31×12891

∴ So by taking common prime factors GCF of 7731 and 7734 is 3

Greatest Common Factor of 7731 and 7734 by matching factors method

Factors of 7731

List of positive integer factors of 7731 that divides 7731 without a remainder.

1,3,9,859,2577,7731

Factors of 7734

List of positive integer factors of 7734 that divides 7734 without a remainder.

1,2,3,6,1289,2578,3867,7734

Greatest Common Factor

We found the factors and prime factorization of 7731 and 7734. The biggest common factor number is the GCF number.
So the greatest common factor 7731 and 7734 is 3.

Also check out the Least Common Multiple of 7731 and 7734

Properties of GCF 7731 and 7734

(i) The GCF of 7731 and 7734 is associative

GCF of 7731 and 7734 = GCF of 7734 and 7731

Related Greatest Common Factor of 7731

Related Greatest Common Factor of 7734

Frequently Asked Questions on GCF of 7731 and 7734

1. What is the GCF of 7731 and 7734?

Answer: GCF of 7731 and 7734 is 3.

2. What are the Factors of 7731?

Answer: Factors of 7731 are 1, 3, 9, 859, 2577, 7731. There are 6 integers that are factors of 7731. The greatest factor of 7731 is 7731.

3. What are the Factors of 7734?

Answer: Factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734. There are 8 integers that are factors of 7734. The greatest factor of 7734 is 7734.

4. How to Find the GCF of 7731 and 7734?

Answer:

Greatest Common Factor of 7731 and 7734 = 3

Step 1: Find the prime factorization of 7731

7731 = 3 x 3 x 859

Step 2: Find the prime factorization of 7734

7734 = 2 x 3 x 1289

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7731 and 7734 is 3