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 7760, 7765 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7760 and 7765 is 5.
GCF(7760,7765) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7760
2 | 7760 |
2 | 3880 |
2 | 1940 |
2 | 970 |
5 | 485 |
97 | 97 |
1 |
Prime factors of 7760 are 2,5,97. Prime factorization of 7760 in exponential form is:
7760 = 24×51×971
Prime Factorization of 7765
5 | 7765 |
1553 | 1553 |
1 |
Prime factors of 7765 are 5,1553. Prime factorization of 7765 in exponential form is:
7765 = 51×15531
∴ So by taking common prime factors GCF of 7760 and 7765 is 5
Factors of 7760
List of positive integer factors of 7760 that divides 7760 without a remainder.
1,2,4,5,8,10,16,20,40,80,97,194,388,485,776,970,1552,1940,3880,7760
Factors of 7765
List of positive integer factors of 7765 that divides 7765 without a remainder.
1,5,1553,7765
Greatest Common Factor
We found the factors and prime factorization of 7760 and 7765. The biggest common factor number is the GCF number.
So the greatest common factor 7760 and 7765 is 5.
Also check out the Least Common Multiple of 7760 and 7765
(i) The GCF of 7760 and 7765 is associative
GCF of 7760 and 7765 = GCF of 7765 and 7760
1. What is the GCF of 7760 and 7765?
Answer: GCF of 7760 and 7765 is 5.
2. What are the Factors of 7760?
Answer: Factors of 7760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 97, 194, 388, 485, 776, 970, 1552, 1940, 3880, 7760. There are 20 integers that are factors of 7760. The greatest factor of 7760 is 7760.
3. What are the Factors of 7765?
Answer: Factors of 7765 are 1, 5, 1553, 7765. There are 4 integers that are factors of 7765. The greatest factor of 7765 is 7765.
4. How to Find the GCF of 7760 and 7765?
Answer:
Greatest Common Factor of 7760 and 7765 = 5
Step 1: Find the prime factorization of 7760
7760 = 2 x 2 x 2 x 2 x 5 x 97
Step 2: Find the prime factorization of 7765
7765 = 5 x 1553
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 7760 and 7765 is 5