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 7605, 7613 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7605 and 7613 is 1.
GCF(7605,7613) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7605
3 | 7605 |
3 | 2535 |
5 | 845 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 7605 are 3,5,13. Prime factorization of 7605 in exponential form is:
7605 = 32×51×132
Prime Factorization of 7613
23 | 7613 |
331 | 331 |
1 |
Prime factors of 7613 are 23,331. Prime factorization of 7613 in exponential form is:
7613 = 231×3311
∴ So by taking common prime factors GCF of 7605 and 7613 is 1
Factors of 7605
List of positive integer factors of 7605 that divides 7605 without a remainder.
1,3,5,9,13,15,39,45,65,117,169,195,507,585,845,1521,2535,7605
Factors of 7613
List of positive integer factors of 7613 that divides 7613 without a remainder.
1,23,331,7613
Greatest Common Factor
We found the factors and prime factorization of 7605 and 7613. The biggest common factor number is the GCF number.
So the greatest common factor 7605 and 7613 is 1.
Also check out the Least Common Multiple of 7605 and 7613
(i) The GCF of 7605 and 7613 is associative
GCF of 7605 and 7613 = GCF of 7613 and 7605
1. What is the GCF of 7605 and 7613?
Answer: GCF of 7605 and 7613 is 1.
2. What are the Factors of 7605?
Answer: Factors of 7605 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 169, 195, 507, 585, 845, 1521, 2535, 7605. There are 18 integers that are factors of 7605. The greatest factor of 7605 is 7605.
3. What are the Factors of 7613?
Answer: Factors of 7613 are 1, 23, 331, 7613. There are 4 integers that are factors of 7613. The greatest factor of 7613 is 7613.
4. How to Find the GCF of 7605 and 7613?
Answer:
Greatest Common Factor of 7605 and 7613 = 1
Step 1: Find the prime factorization of 7605
7605 = 3 x 3 x 5 x 13 x 13
Step 2: Find the prime factorization of 7613
7613 = 23 x 331
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 7605 and 7613 is 1