Greatest Common Factor of 7740 and 7745

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, 7745 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7740 and 7745 is 5.

GCF(7740,7745) = 5

GCF of 7740 and 7745

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

GCF of:
and

Greatest Common Factor of 7740 and 7745

GCF of 7740 and 7745 is 5

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 7745


5 7745
1549 1549
1

Prime factors of 7745 are 5,1549. Prime factorization of 7745 in exponential form is:

7745 = 51×15491

∴ So by taking common prime factors GCF of 7740 and 7745 is 5

Greatest Common Factor of 7740 and 7745 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 7745

List of positive integer factors of 7745 that divides 7745 without a remainder.

1,5,1549,7745

Greatest Common Factor

We found the factors and prime factorization of 7740 and 7745. The biggest common factor number is the GCF number.
So the greatest common factor 7740 and 7745 is 5.

Also check out the Least Common Multiple of 7740 and 7745

Properties of GCF 7740 and 7745

(i) The GCF of 7740 and 7745 is associative

GCF of 7740 and 7745 = GCF of 7745 and 7740

Related Greatest Common Factor of 7740

Related Greatest Common Factor of 7745

Frequently Asked Questions on GCF of 7740 and 7745

1. What is the GCF of 7740 and 7745?

Answer: GCF of 7740 and 7745 is 5.

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 7745?

Answer: Factors of 7745 are 1, 5, 1549, 7745. There are 4 integers that are factors of 7745. The greatest factor of 7745 is 7745.

4. How to Find the GCF of 7740 and 7745?

Answer:

Greatest Common Factor of 7740 and 7745 = 5

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 7745

7745 = 5 x 1549

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7740 and 7745 is 5