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 7689, 7690 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7689 and 7690 is 1.
GCF(7689,7690) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7689
3 | 7689 |
11 | 2563 |
233 | 233 |
1 |
Prime factors of 7689 are 3,11,233. Prime factorization of 7689 in exponential form is:
7689 = 31×111×2331
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
∴ So by taking common prime factors GCF of 7689 and 7690 is 1
Factors of 7689
List of positive integer factors of 7689 that divides 7689 without a remainder.
1,3,11,33,233,699,2563,7689
Factors of 7690
List of positive integer factors of 7690 that divides 7690 without a remainder.
1,2,5,10,769,1538,3845,7690
Greatest Common Factor
We found the factors and prime factorization of 7689 and 7690. The biggest common factor number is the GCF number.
So the greatest common factor 7689 and 7690 is 1.
Also check out the Least Common Multiple of 7689 and 7690
(i) The GCF of 7689 and 7690 is associative
GCF of 7689 and 7690 = GCF of 7690 and 7689
1. What is the GCF of 7689 and 7690?
Answer: GCF of 7689 and 7690 is 1.
2. What are the Factors of 7689?
Answer: Factors of 7689 are 1, 3, 11, 33, 233, 699, 2563, 7689. There are 8 integers that are factors of 7689. The greatest factor of 7689 is 7689.
3. 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.
4. How to Find the GCF of 7689 and 7690?
Answer:
Greatest Common Factor of 7689 and 7690 = 1
Step 1: Find the prime factorization of 7689
7689 = 3 x 11 x 233
Step 2: Find the prime factorization of 7690
7690 = 2 x 5 x 769
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 7689 and 7690 is 1