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, 9685 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9681 and 9685 is 1.
GCF(9681,9685) = 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 9685
5 | 9685 |
13 | 1937 |
149 | 149 |
1 |
Prime factors of 9685 are 5,13,149. Prime factorization of 9685 in exponential form is:
9685 = 51×131×1491
∴ So by taking common prime factors GCF of 9681 and 9685 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 9685
List of positive integer factors of 9685 that divides 9685 without a remainder.
1,5,13,65,149,745,1937,9685
Greatest Common Factor
We found the factors and prime factorization of 9681 and 9685. The biggest common factor number is the GCF number.
So the greatest common factor 9681 and 9685 is 1.
Also check out the Least Common Multiple of 9681 and 9685
(i) The GCF of 9681 and 9685 is associative
GCF of 9681 and 9685 = GCF of 9685 and 9681
1. What is the GCF of 9681 and 9685?
Answer: GCF of 9681 and 9685 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 9685?
Answer: Factors of 9685 are 1, 5, 13, 65, 149, 745, 1937, 9685. There are 8 integers that are factors of 9685. The greatest factor of 9685 is 9685.
4. How to Find the GCF of 9681 and 9685?
Answer:
Greatest Common Factor of 9681 and 9685 = 1
Step 1: Find the prime factorization of 9681
9681 = 3 x 7 x 461
Step 2: Find the prime factorization of 9685
9685 = 5 x 13 x 149
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 9685 is 1