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 9603, 9609 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9603 and 9609 is 3.
GCF(9603,9609) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9609
3 | 9609 |
3203 | 3203 |
1 |
Prime factors of 9609 are 3,3203. Prime factorization of 9609 in exponential form is:
9609 = 31×32031
∴ So by taking common prime factors GCF of 9603 and 9609 is 3
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
Factors of 9609
List of positive integer factors of 9609 that divides 9609 without a remainder.
1,3,3203,9609
Greatest Common Factor
We found the factors and prime factorization of 9603 and 9609. The biggest common factor number is the GCF number.
So the greatest common factor 9603 and 9609 is 3.
Also check out the Least Common Multiple of 9603 and 9609
(i) The GCF of 9603 and 9609 is associative
GCF of 9603 and 9609 = GCF of 9609 and 9603
1. What is the GCF of 9603 and 9609?
Answer: GCF of 9603 and 9609 is 3.
2. 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.
3. What are the Factors of 9609?
Answer: Factors of 9609 are 1, 3, 3203, 9609. There are 4 integers that are factors of 9609. The greatest factor of 9609 is 9609.
4. How to Find the GCF of 9603 and 9609?
Answer:
Greatest Common Factor of 9603 and 9609 = 3
Step 1: Find the prime factorization of 9603
9603 = 3 x 3 x 11 x 97
Step 2: Find the prime factorization of 9609
9609 = 3 x 3203
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9603 and 9609 is 3