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 9606, 9612 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9606 and 9612 is 6.
GCF(9606,9612) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9612
2 | 9612 |
2 | 4806 |
3 | 2403 |
3 | 801 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 9612 are 2,3,89. Prime factorization of 9612 in exponential form is:
9612 = 22×33×891
∴ So by taking common prime factors GCF of 9606 and 9612 is 6
Factors of 9606
List of positive integer factors of 9606 that divides 9606 without a remainder.
1,2,3,6,1601,3202,4803,9606
Factors of 9612
List of positive integer factors of 9612 that divides 9612 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612
Greatest Common Factor
We found the factors and prime factorization of 9606 and 9612. The biggest common factor number is the GCF number.
So the greatest common factor 9606 and 9612 is 6.
Also check out the Least Common Multiple of 9606 and 9612
(i) The GCF of 9606 and 9612 is associative
GCF of 9606 and 9612 = GCF of 9612 and 9606
1. What is the GCF of 9606 and 9612?
Answer: GCF of 9606 and 9612 is 6.
2. 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.
3. What are the Factors of 9612?
Answer: Factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612. There are 24 integers that are factors of 9612. The greatest factor of 9612 is 9612.
4. How to Find the GCF of 9606 and 9612?
Answer:
Greatest Common Factor of 9606 and 9612 = 6
Step 1: Find the prime factorization of 9606
9606 = 2 x 3 x 1601
Step 2: Find the prime factorization of 9612
9612 = 2 x 2 x 3 x 3 x 3 x 89
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 9606 and 9612 is 6