Greatest Common Factor of 7740 and 7744

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, 7744 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7740 and 7744 is 4.

GCF(7740,7744) = 4

GCF of 7740 and 7744

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

GCF of:
and

Greatest Common Factor of 7740 and 7744

GCF of 7740 and 7744 is 4

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 7744


2 7744
2 3872
2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 7744 are 2,11. Prime factorization of 7744 in exponential form is:

7744 = 26×112

∴ So by taking common prime factors GCF of 7740 and 7744 is 4

Greatest Common Factor of 7740 and 7744 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 7744

List of positive integer factors of 7744 that divides 7744 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744

Greatest Common Factor

We found the factors and prime factorization of 7740 and 7744. The biggest common factor number is the GCF number.
So the greatest common factor 7740 and 7744 is 4.

Also check out the Least Common Multiple of 7740 and 7744

Properties of GCF 7740 and 7744

(i) The GCF of 7740 and 7744 is associative

GCF of 7740 and 7744 = GCF of 7744 and 7740

Related Greatest Common Factor of 7740

Related Greatest Common Factor of 7744

Frequently Asked Questions on GCF of 7740 and 7744

1. What is the GCF of 7740 and 7744?

Answer: GCF of 7740 and 7744 is 4.

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 7744?

Answer: Factors of 7744 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744. There are 21 integers that are factors of 7744. The greatest factor of 7744 is 7744.

4. How to Find the GCF of 7740 and 7744?

Answer:

Greatest Common Factor of 7740 and 7744 = 4

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 7744

7744 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7740 and 7744 is 4