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 9609, 9615 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9609 and 9615 is 3.
GCF(9609,9615) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9615
3 | 9615 |
5 | 3205 |
641 | 641 |
1 |
Prime factors of 9615 are 3,5,641. Prime factorization of 9615 in exponential form is:
9615 = 31×51×6411
∴ So by taking common prime factors GCF of 9609 and 9615 is 3
Factors of 9609
List of positive integer factors of 9609 that divides 9609 without a remainder.
1,3,3203,9609
Factors of 9615
List of positive integer factors of 9615 that divides 9615 without a remainder.
1,3,5,15,641,1923,3205,9615
Greatest Common Factor
We found the factors and prime factorization of 9609 and 9615. The biggest common factor number is the GCF number.
So the greatest common factor 9609 and 9615 is 3.
Also check out the Least Common Multiple of 9609 and 9615
(i) The GCF of 9609 and 9615 is associative
GCF of 9609 and 9615 = GCF of 9615 and 9609
1. What is the GCF of 9609 and 9615?
Answer: GCF of 9609 and 9615 is 3.
2. 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.
3. What are the Factors of 9615?
Answer: Factors of 9615 are 1, 3, 5, 15, 641, 1923, 3205, 9615. There are 8 integers that are factors of 9615. The greatest factor of 9615 is 9615.
4. How to Find the GCF of 9609 and 9615?
Answer:
Greatest Common Factor of 9609 and 9615 = 3
Step 1: Find the prime factorization of 9609
9609 = 3 x 3203
Step 2: Find the prime factorization of 9615
9615 = 3 x 5 x 641
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 9609 and 9615 is 3