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 7705, 7708 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7705 and 7708 is 1.
GCF(7705,7708) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7705
5 | 7705 |
23 | 1541 |
67 | 67 |
1 |
Prime factors of 7705 are 5,23,67. Prime factorization of 7705 in exponential form is:
7705 = 51×231×671
Prime Factorization of 7708
2 | 7708 |
2 | 3854 |
41 | 1927 |
47 | 47 |
1 |
Prime factors of 7708 are 2,41,47. Prime factorization of 7708 in exponential form is:
7708 = 22×411×471
∴ So by taking common prime factors GCF of 7705 and 7708 is 1
Factors of 7705
List of positive integer factors of 7705 that divides 7705 without a remainder.
1,5,23,67,115,335,1541,7705
Factors of 7708
List of positive integer factors of 7708 that divides 7708 without a remainder.
1,2,4,41,47,82,94,164,188,1927,3854,7708
Greatest Common Factor
We found the factors and prime factorization of 7705 and 7708. The biggest common factor number is the GCF number.
So the greatest common factor 7705 and 7708 is 1.
Also check out the Least Common Multiple of 7705 and 7708
(i) The GCF of 7705 and 7708 is associative
GCF of 7705 and 7708 = GCF of 7708 and 7705
1. What is the GCF of 7705 and 7708?
Answer: GCF of 7705 and 7708 is 1.
2. What are the Factors of 7705?
Answer: Factors of 7705 are 1, 5, 23, 67, 115, 335, 1541, 7705. There are 8 integers that are factors of 7705. The greatest factor of 7705 is 7705.
3. What are the Factors of 7708?
Answer: Factors of 7708 are 1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708. There are 12 integers that are factors of 7708. The greatest factor of 7708 is 7708.
4. How to Find the GCF of 7705 and 7708?
Answer:
Greatest Common Factor of 7705 and 7708 = 1
Step 1: Find the prime factorization of 7705
7705 = 5 x 23 x 67
Step 2: Find the prime factorization of 7708
7708 = 2 x 2 x 41 x 47
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 7705 and 7708 is 1