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 9597, 9602 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9597 and 9602 is 1.
GCF(9597,9602) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9597
3 | 9597 |
7 | 3199 |
457 | 457 |
1 |
Prime factors of 9597 are 3,7,457. Prime factorization of 9597 in exponential form is:
9597 = 31×71×4571
Prime Factorization of 9602
2 | 9602 |
4801 | 4801 |
1 |
Prime factors of 9602 are 2,4801. Prime factorization of 9602 in exponential form is:
9602 = 21×48011
∴ So by taking common prime factors GCF of 9597 and 9602 is 1
Factors of 9597
List of positive integer factors of 9597 that divides 9597 without a remainder.
1,3,7,21,457,1371,3199,9597
Factors of 9602
List of positive integer factors of 9602 that divides 9602 without a remainder.
1,2,4801,9602
Greatest Common Factor
We found the factors and prime factorization of 9597 and 9602. The biggest common factor number is the GCF number.
So the greatest common factor 9597 and 9602 is 1.
Also check out the Least Common Multiple of 9597 and 9602
(i) The GCF of 9597 and 9602 is associative
GCF of 9597 and 9602 = GCF of 9602 and 9597
1. What is the GCF of 9597 and 9602?
Answer: GCF of 9597 and 9602 is 1.
2. What are the Factors of 9597?
Answer: Factors of 9597 are 1, 3, 7, 21, 457, 1371, 3199, 9597. There are 8 integers that are factors of 9597. The greatest factor of 9597 is 9597.
3. What are the Factors of 9602?
Answer: Factors of 9602 are 1, 2, 4801, 9602. There are 4 integers that are factors of 9602. The greatest factor of 9602 is 9602.
4. How to Find the GCF of 9597 and 9602?
Answer:
Greatest Common Factor of 9597 and 9602 = 1
Step 1: Find the prime factorization of 9597
9597 = 3 x 7 x 457
Step 2: Find the prime factorization of 9602
9602 = 2 x 4801
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 9597 and 9602 is 1