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, 9598 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9597 and 9598 is 1.
GCF(9597,9598) = 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 9598
2 | 9598 |
4799 | 4799 |
1 |
Prime factors of 9598 are 2,4799. Prime factorization of 9598 in exponential form is:
9598 = 21×47991
∴ So by taking common prime factors GCF of 9597 and 9598 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 9598
List of positive integer factors of 9598 that divides 9598 without a remainder.
1,2,4799,9598
Greatest Common Factor
We found the factors and prime factorization of 9597 and 9598. The biggest common factor number is the GCF number.
So the greatest common factor 9597 and 9598 is 1.
Also check out the Least Common Multiple of 9597 and 9598
(i) The GCF of 9597 and 9598 is associative
GCF of 9597 and 9598 = GCF of 9598 and 9597
1. What is the GCF of 9597 and 9598?
Answer: GCF of 9597 and 9598 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 9598?
Answer: Factors of 9598 are 1, 2, 4799, 9598. There are 4 integers that are factors of 9598. The greatest factor of 9598 is 9598.
4. How to Find the GCF of 9597 and 9598?
Answer:
Greatest Common Factor of 9597 and 9598 = 1
Step 1: Find the prime factorization of 9597
9597 = 3 x 7 x 457
Step 2: Find the prime factorization of 9598
9598 = 2 x 4799
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 9598 is 1