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 9681, 9683 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9681 and 9683 is 1.
GCF(9681,9683) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9681
3 | 9681 |
7 | 3227 |
461 | 461 |
1 |
Prime factors of 9681 are 3,7,461. Prime factorization of 9681 in exponential form is:
9681 = 31×71×4611
Prime Factorization of 9683
23 | 9683 |
421 | 421 |
1 |
Prime factors of 9683 are 23,421. Prime factorization of 9683 in exponential form is:
9683 = 231×4211
∴ So by taking common prime factors GCF of 9681 and 9683 is 1
Factors of 9681
List of positive integer factors of 9681 that divides 9681 without a remainder.
1,3,7,21,461,1383,3227,9681
Factors of 9683
List of positive integer factors of 9683 that divides 9683 without a remainder.
1,23,421,9683
Greatest Common Factor
We found the factors and prime factorization of 9681 and 9683. The biggest common factor number is the GCF number.
So the greatest common factor 9681 and 9683 is 1.
Also check out the Least Common Multiple of 9681 and 9683
(i) The GCF of 9681 and 9683 is associative
GCF of 9681 and 9683 = GCF of 9683 and 9681
1. What is the GCF of 9681 and 9683?
Answer: GCF of 9681 and 9683 is 1.
2. What are the Factors of 9681?
Answer: Factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681. There are 8 integers that are factors of 9681. The greatest factor of 9681 is 9681.
3. What are the Factors of 9683?
Answer: Factors of 9683 are 1, 23, 421, 9683. There are 4 integers that are factors of 9683. The greatest factor of 9683 is 9683.
4. How to Find the GCF of 9681 and 9683?
Answer:
Greatest Common Factor of 9681 and 9683 = 1
Step 1: Find the prime factorization of 9681
9681 = 3 x 7 x 461
Step 2: Find the prime factorization of 9683
9683 = 23 x 421
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 9681 and 9683 is 1