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 9684, 9689 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9684 and 9689 is 1.
GCF(9684,9689) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9684
2 | 9684 |
2 | 4842 |
3 | 2421 |
3 | 807 |
269 | 269 |
1 |
Prime factors of 9684 are 2,3,269. Prime factorization of 9684 in exponential form is:
9684 = 22×32×2691
Prime Factorization of 9689
9689 | 9689 |
1 |
Prime factors of 9689 are 9689. Prime factorization of 9689 in exponential form is:
9689 = 96891
∴ So by taking common prime factors GCF of 9684 and 9689 is 1
Factors of 9684
List of positive integer factors of 9684 that divides 9684 without a remainder.
1,2,3,4,6,9,12,18,36,269,538,807,1076,1614,2421,3228,4842,9684
Factors of 9689
List of positive integer factors of 9689 that divides 9689 without a remainder.
1,9689
Greatest Common Factor
We found the factors and prime factorization of 9684 and 9689. The biggest common factor number is the GCF number.
So the greatest common factor 9684 and 9689 is 1.
Also check out the Least Common Multiple of 9684 and 9689
(i) The GCF of 9684 and 9689 is associative
GCF of 9684 and 9689 = GCF of 9689 and 9684
1. What is the GCF of 9684 and 9689?
Answer: GCF of 9684 and 9689 is 1.
2. What are the Factors of 9684?
Answer: Factors of 9684 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 9684. There are 18 integers that are factors of 9684. The greatest factor of 9684 is 9684.
3. What are the Factors of 9689?
Answer: Factors of 9689 are 1, 9689. There are 2 integers that are factors of 9689. The greatest factor of 9689 is 9689.
4. How to Find the GCF of 9684 and 9689?
Answer:
Greatest Common Factor of 9684 and 9689 = 1
Step 1: Find the prime factorization of 9684
9684 = 2 x 2 x 3 x 3 x 269
Step 2: Find the prime factorization of 9689
9689 = 9689
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 9684 and 9689 is 1