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 7690, 7697 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7690 and 7697 is 1.
GCF(7690,7697) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7690
2 | 7690 |
5 | 3845 |
769 | 769 |
1 |
Prime factors of 7690 are 2,5,769. Prime factorization of 7690 in exponential form is:
7690 = 21×51×7691
Prime Factorization of 7697
43 | 7697 |
179 | 179 |
1 |
Prime factors of 7697 are 43,179. Prime factorization of 7697 in exponential form is:
7697 = 431×1791
∴ So by taking common prime factors GCF of 7690 and 7697 is 1
Factors of 7690
List of positive integer factors of 7690 that divides 7690 without a remainder.
1,2,5,10,769,1538,3845,7690
Factors of 7697
List of positive integer factors of 7697 that divides 7697 without a remainder.
1,43,179,7697
Greatest Common Factor
We found the factors and prime factorization of 7690 and 7697. The biggest common factor number is the GCF number.
So the greatest common factor 7690 and 7697 is 1.
Also check out the Least Common Multiple of 7690 and 7697
(i) The GCF of 7690 and 7697 is associative
GCF of 7690 and 7697 = GCF of 7697 and 7690
1. What is the GCF of 7690 and 7697?
Answer: GCF of 7690 and 7697 is 1.
2. What are the Factors of 7690?
Answer: Factors of 7690 are 1, 2, 5, 10, 769, 1538, 3845, 7690. There are 8 integers that are factors of 7690. The greatest factor of 7690 is 7690.
3. What are the Factors of 7697?
Answer: Factors of 7697 are 1, 43, 179, 7697. There are 4 integers that are factors of 7697. The greatest factor of 7697 is 7697.
4. How to Find the GCF of 7690 and 7697?
Answer:
Greatest Common Factor of 7690 and 7697 = 1
Step 1: Find the prime factorization of 7690
7690 = 2 x 5 x 769
Step 2: Find the prime factorization of 7697
7697 = 43 x 179
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 7690 and 7697 is 1