Greatest Common Factor of 7740 and 7746

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 7740, 7746 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7740 and 7746 is 6.

GCF(7740,7746) = 6

GCF of 7740 and 7746

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

GCF of:
and

Greatest Common Factor of 7740 and 7746

GCF of 7740 and 7746 is 6

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

Prime Factorization of 7746


2 7746
3 3873
1291 1291
1

Prime factors of 7746 are 2,3,1291. Prime factorization of 7746 in exponential form is:

7746 = 21×31×12911

∴ So by taking common prime factors GCF of 7740 and 7746 is 6

Greatest Common Factor of 7740 and 7746 by matching factors method

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

Factors of 7746

List of positive integer factors of 7746 that divides 7746 without a remainder.

1,2,3,6,1291,2582,3873,7746

Greatest Common Factor

We found the factors and prime factorization of 7740 and 7746. The biggest common factor number is the GCF number.
So the greatest common factor 7740 and 7746 is 6.

Also check out the Least Common Multiple of 7740 and 7746

Properties of GCF 7740 and 7746

(i) The GCF of 7740 and 7746 is associative

GCF of 7740 and 7746 = GCF of 7746 and 7740

Related Greatest Common Factor of 7740

Related Greatest Common Factor of 7746

Frequently Asked Questions on GCF of 7740 and 7746

1. What is the GCF of 7740 and 7746?

Answer: GCF of 7740 and 7746 is 6.

2. 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.

3. What are the Factors of 7746?

Answer: Factors of 7746 are 1, 2, 3, 6, 1291, 2582, 3873, 7746. There are 8 integers that are factors of 7746. The greatest factor of 7746 is 7746.

4. How to Find the GCF of 7740 and 7746?

Answer:

Greatest Common Factor of 7740 and 7746 = 6

Step 1: Find the prime factorization of 7740

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

Step 2: Find the prime factorization of 7746

7746 = 2 x 3 x 1291

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 7740 and 7746 is 6