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 9605, 9613 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9605 and 9613 is 1.
GCF(9605,9613) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9605
5 | 9605 |
17 | 1921 |
113 | 113 |
1 |
Prime factors of 9605 are 5,17,113. Prime factorization of 9605 in exponential form is:
9605 = 51×171×1131
Prime Factorization of 9613
9613 | 9613 |
1 |
Prime factors of 9613 are 9613. Prime factorization of 9613 in exponential form is:
9613 = 96131
∴ So by taking common prime factors GCF of 9605 and 9613 is 1
Factors of 9605
List of positive integer factors of 9605 that divides 9605 without a remainder.
1,5,17,85,113,565,1921,9605
Factors of 9613
List of positive integer factors of 9613 that divides 9613 without a remainder.
1,9613
Greatest Common Factor
We found the factors and prime factorization of 9605 and 9613. The biggest common factor number is the GCF number.
So the greatest common factor 9605 and 9613 is 1.
Also check out the Least Common Multiple of 9605 and 9613
(i) The GCF of 9605 and 9613 is associative
GCF of 9605 and 9613 = GCF of 9613 and 9605
1. What is the GCF of 9605 and 9613?
Answer: GCF of 9605 and 9613 is 1.
2. What are the Factors of 9605?
Answer: Factors of 9605 are 1, 5, 17, 85, 113, 565, 1921, 9605. There are 8 integers that are factors of 9605. The greatest factor of 9605 is 9605.
3. What are the Factors of 9613?
Answer: Factors of 9613 are 1, 9613. There are 2 integers that are factors of 9613. The greatest factor of 9613 is 9613.
4. How to Find the GCF of 9605 and 9613?
Answer:
Greatest Common Factor of 9605 and 9613 = 1
Step 1: Find the prime factorization of 9605
9605 = 5 x 17 x 113
Step 2: Find the prime factorization of 9613
9613 = 9613
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 9605 and 9613 is 1