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 9604, 9606 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9604 and 9606 is 2.
GCF(9604,9606) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9604
2 | 9604 |
2 | 4802 |
7 | 2401 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 9604 are 2,7. Prime factorization of 9604 in exponential form is:
9604 = 22×74
Prime Factorization of 9606
2 | 9606 |
3 | 4803 |
1601 | 1601 |
1 |
Prime factors of 9606 are 2,3,1601. Prime factorization of 9606 in exponential form is:
9606 = 21×31×16011
∴ So by taking common prime factors GCF of 9604 and 9606 is 2
Factors of 9604
List of positive integer factors of 9604 that divides 9604 without a remainder.
1,2,4,7,14,28,49,98,196,343,686,1372,2401,4802,9604
Factors of 9606
List of positive integer factors of 9606 that divides 9606 without a remainder.
1,2,3,6,1601,3202,4803,9606
Greatest Common Factor
We found the factors and prime factorization of 9604 and 9606. The biggest common factor number is the GCF number.
So the greatest common factor 9604 and 9606 is 2.
Also check out the Least Common Multiple of 9604 and 9606
(i) The GCF of 9604 and 9606 is associative
GCF of 9604 and 9606 = GCF of 9606 and 9604
1. What is the GCF of 9604 and 9606?
Answer: GCF of 9604 and 9606 is 2.
2. What are the Factors of 9604?
Answer: Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604. There are 15 integers that are factors of 9604. The greatest factor of 9604 is 9604.
3. What are the Factors of 9606?
Answer: Factors of 9606 are 1, 2, 3, 6, 1601, 3202, 4803, 9606. There are 8 integers that are factors of 9606. The greatest factor of 9606 is 9606.
4. How to Find the GCF of 9604 and 9606?
Answer:
Greatest Common Factor of 9604 and 9606 = 2
Step 1: Find the prime factorization of 9604
9604 = 2 x 2 x 7 x 7 x 7 x 7
Step 2: Find the prime factorization of 9606
9606 = 2 x 3 x 1601
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9604 and 9606 is 2