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 7735, 7740 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7735 and 7740 is 5.
GCF(7735,7740) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7735
5 | 7735 |
7 | 1547 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 7735 are 5,7,13,17. Prime factorization of 7735 in exponential form is:
7735 = 51×71×131×171
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 7735 and 7740 is 5
Factors of 7735
List of positive integer factors of 7735 that divides 7735 without a remainder.
1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735
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 7735 and 7740. The biggest common factor number is the GCF number.
So the greatest common factor 7735 and 7740 is 5.
Also check out the Least Common Multiple of 7735 and 7740
(i) The GCF of 7735 and 7740 is associative
GCF of 7735 and 7740 = GCF of 7740 and 7735
1. What is the GCF of 7735 and 7740?
Answer: GCF of 7735 and 7740 is 5.
2. What are the Factors of 7735?
Answer: Factors of 7735 are 1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735. There are 16 integers that are factors of 7735. The greatest factor of 7735 is 7735.
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 7735 and 7740?
Answer:
Greatest Common Factor of 7735 and 7740 = 5
Step 1: Find the prime factorization of 7735
7735 = 5 x 7 x 13 x 17
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 = 5
Step 4: Therefore, the greatest common factor of 7735 and 7740 is 5