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 9135, 9141 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9135 and 9141 is 3.
GCF(9135,9141) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9135
3 | 9135 |
3 | 3045 |
5 | 1015 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 9135 are 3,5,7,29. Prime factorization of 9135 in exponential form is:
9135 = 32×51×71×291
Prime Factorization of 9141
3 | 9141 |
11 | 3047 |
277 | 277 |
1 |
Prime factors of 9141 are 3,11,277. Prime factorization of 9141 in exponential form is:
9141 = 31×111×2771
∴ So by taking common prime factors GCF of 9135 and 9141 is 3
Factors of 9135
List of positive integer factors of 9135 that divides 9135 without a remainder.
1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135
Factors of 9141
List of positive integer factors of 9141 that divides 9141 without a remainder.
1,3,11,33,277,831,3047,9141
Greatest Common Factor
We found the factors and prime factorization of 9135 and 9141. The biggest common factor number is the GCF number.
So the greatest common factor 9135 and 9141 is 3.
Also check out the Least Common Multiple of 9135 and 9141
(i) The GCF of 9135 and 9141 is associative
GCF of 9135 and 9141 = GCF of 9141 and 9135
1. What is the GCF of 9135 and 9141?
Answer: GCF of 9135 and 9141 is 3.
2. What are the Factors of 9135?
Answer: Factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135. There are 24 integers that are factors of 9135. The greatest factor of 9135 is 9135.
3. What are the Factors of 9141?
Answer: Factors of 9141 are 1, 3, 11, 33, 277, 831, 3047, 9141. There are 8 integers that are factors of 9141. The greatest factor of 9141 is 9141.
4. How to Find the GCF of 9135 and 9141?
Answer:
Greatest Common Factor of 9135 and 9141 = 3
Step 1: Find the prime factorization of 9135
9135 = 3 x 3 x 5 x 7 x 29
Step 2: Find the prime factorization of 9141
9141 = 3 x 11 x 277
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 9135 and 9141 is 3