Greatest Common Factor of 7734 and 7740

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 7734, 7740 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7734 and 7740 is 6.

GCF(7734,7740) = 6

GCF of 7734 and 7740

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

GCF of:
and

Greatest Common Factor of 7734 and 7740

GCF of 7734 and 7740 is 6

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

Prime Factorization of 7740


2 7740
2 3870
3 1935
3 645
5 215
43 43
1

Prime factors of 7740 are 2,3,5,43. Prime factorization of 7740 in exponential form is:

7740 = 22×32×51×431

∴ So by taking common prime factors GCF of 7734 and 7740 is 6

Greatest Common Factor of 7734 and 7740 by matching factors method

Factors of 7734

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

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

Factors of 7740

List of positive integer factors of 7740 that divides 7740 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,43,45,60,86,90,129,172,180,215,258,387,430,516,645,774,860,1290,1548,1935,2580,3870,7740

Greatest Common Factor

We found the factors and prime factorization of 7734 and 7740. The biggest common factor number is the GCF number.
So the greatest common factor 7734 and 7740 is 6.

Also check out the Least Common Multiple of 7734 and 7740

Properties of GCF 7734 and 7740

(i) The GCF of 7734 and 7740 is associative

GCF of 7734 and 7740 = GCF of 7740 and 7734

Related Greatest Common Factor of 7734

Related Greatest Common Factor of 7740

Frequently Asked Questions on GCF of 7734 and 7740

1. What is the GCF of 7734 and 7740?

Answer: GCF of 7734 and 7740 is 6.

2. 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.

3. What are the Factors of 7740?

Answer: Factors of 7740 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740. There are 36 integers that are factors of 7740. The greatest factor of 7740 is 7740.

4. How to Find the GCF of 7734 and 7740?

Answer:

Greatest Common Factor of 7734 and 7740 = 6

Step 1: Find the prime factorization of 7734

7734 = 2 x 3 x 1289

Step 2: Find the prime factorization of 7740

7740 = 2 x 2 x 3 x 3 x 5 x 43

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7734 and 7740 is 6