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 9675, 9682 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9675 and 9682 is 1.
GCF(9675,9682) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9675
3 | 9675 |
3 | 3225 |
5 | 1075 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 9675 are 3,5,43. Prime factorization of 9675 in exponential form is:
9675 = 32×52×431
Prime Factorization of 9682
2 | 9682 |
47 | 4841 |
103 | 103 |
1 |
Prime factors of 9682 are 2,47,103. Prime factorization of 9682 in exponential form is:
9682 = 21×471×1031
∴ So by taking common prime factors GCF of 9675 and 9682 is 1
Factors of 9675
List of positive integer factors of 9675 that divides 9675 without a remainder.
1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675
Factors of 9682
List of positive integer factors of 9682 that divides 9682 without a remainder.
1,2,47,94,103,206,4841,9682
Greatest Common Factor
We found the factors and prime factorization of 9675 and 9682. The biggest common factor number is the GCF number.
So the greatest common factor 9675 and 9682 is 1.
Also check out the Least Common Multiple of 9675 and 9682
(i) The GCF of 9675 and 9682 is associative
GCF of 9675 and 9682 = GCF of 9682 and 9675
1. What is the GCF of 9675 and 9682?
Answer: GCF of 9675 and 9682 is 1.
2. What are the Factors of 9675?
Answer: Factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675. There are 18 integers that are factors of 9675. The greatest factor of 9675 is 9675.
3. What are the Factors of 9682?
Answer: Factors of 9682 are 1, 2, 47, 94, 103, 206, 4841, 9682. There are 8 integers that are factors of 9682. The greatest factor of 9682 is 9682.
4. How to Find the GCF of 9675 and 9682?
Answer:
Greatest Common Factor of 9675 and 9682 = 1
Step 1: Find the prime factorization of 9675
9675 = 3 x 3 x 5 x 5 x 43
Step 2: Find the prime factorization of 9682
9682 = 2 x 47 x 103
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 9675 and 9682 is 1