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 9598, 9603 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9598 and 9603 is 1.
GCF(9598,9603) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9603
3 | 9603 |
3 | 3201 |
11 | 1067 |
97 | 97 |
1 |
Prime factors of 9603 are 3,11,97. Prime factorization of 9603 in exponential form is:
9603 = 32×111×971
∴ So by taking common prime factors GCF of 9598 and 9603 is 1
Factors of 9598
List of positive integer factors of 9598 that divides 9598 without a remainder.
1,2,4799,9598
Factors of 9603
List of positive integer factors of 9603 that divides 9603 without a remainder.
1,3,9,11,33,97,99,291,873,1067,3201,9603
Greatest Common Factor
We found the factors and prime factorization of 9598 and 9603. The biggest common factor number is the GCF number.
So the greatest common factor 9598 and 9603 is 1.
Also check out the Least Common Multiple of 9598 and 9603
(i) The GCF of 9598 and 9603 is associative
GCF of 9598 and 9603 = GCF of 9603 and 9598
1. What is the GCF of 9598 and 9603?
Answer: GCF of 9598 and 9603 is 1.
2. 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.
3. What are the Factors of 9603?
Answer: Factors of 9603 are 1, 3, 9, 11, 33, 97, 99, 291, 873, 1067, 3201, 9603. There are 12 integers that are factors of 9603. The greatest factor of 9603 is 9603.
4. How to Find the GCF of 9598 and 9603?
Answer:
Greatest Common Factor of 9598 and 9603 = 1
Step 1: Find the prime factorization of 9598
9598 = 2 x 4799
Step 2: Find the prime factorization of 9603
9603 = 3 x 3 x 11 x 97
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 9598 and 9603 is 1