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 605, 613 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 605 and 613 is 1.
GCF(605,613) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 605
5 | 605 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 605 are 5,11. Prime factorization of 605 in exponential form is:
605 = 51×112
Prime Factorization of 613
613 | 613 |
1 |
Prime factors of 613 are 613. Prime factorization of 613 in exponential form is:
613 = 6131
∴ So by taking common prime factors GCF of 605 and 613 is 1
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Greatest Common Factor
We found the factors and prime factorization of 605 and 613. The biggest common factor number is the GCF number.
So the greatest common factor 605 and 613 is 1.
Also check out the Least Common Multiple of 605 and 613
(i) The GCF of 605 and 613 is associative
GCF of 605 and 613 = GCF of 613 and 605
1. What is the GCF of 605 and 613?
Answer: GCF of 605 and 613 is 1.
2. What are the Factors of 605?
Answer: Factors of 605 are 1, 5, 11, 55, 121, 605. There are 6 integers that are factors of 605. The greatest factor of 605 is 605.
3. What are the Factors of 613?
Answer: Factors of 613 are 1, 613. There are 2 integers that are factors of 613. The greatest factor of 613 is 613.
4. How to Find the GCF of 605 and 613?
Answer:
Greatest Common Factor of 605 and 613 = 1
Step 1: Find the prime factorization of 605
605 = 5 x 11 x 11
Step 2: Find the prime factorization of 613
613 = 613
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 605 and 613 is 1