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 4158, 4165 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4158 and 4165 is 7.
GCF(4158,4165) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4158
2 | 4158 |
3 | 2079 |
3 | 693 |
3 | 231 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 4158 are 2,3,7,11. Prime factorization of 4158 in exponential form is:
4158 = 21×33×71×111
Prime Factorization of 4165
5 | 4165 |
7 | 833 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 4165 are 5,7,17. Prime factorization of 4165 in exponential form is:
4165 = 51×72×171
∴ So by taking common prime factors GCF of 4158 and 4165 is 7
Factors of 4158
List of positive integer factors of 4158 that divides 4158 without a remainder.
1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158
Factors of 4165
List of positive integer factors of 4165 that divides 4165 without a remainder.
1,5,7,17,35,49,85,119,245,595,833,4165
Greatest Common Factor
We found the factors and prime factorization of 4158 and 4165. The biggest common factor number is the GCF number.
So the greatest common factor 4158 and 4165 is 7.
Also check out the Least Common Multiple of 4158 and 4165
(i) The GCF of 4158 and 4165 is associative
GCF of 4158 and 4165 = GCF of 4165 and 4158
1. What is the GCF of 4158 and 4165?
Answer: GCF of 4158 and 4165 is 7.
2. What are the Factors of 4158?
Answer: Factors of 4158 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158. There are 32 integers that are factors of 4158. The greatest factor of 4158 is 4158.
3. What are the Factors of 4165?
Answer: Factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165. There are 12 integers that are factors of 4165. The greatest factor of 4165 is 4165.
4. How to Find the GCF of 4158 and 4165?
Answer:
Greatest Common Factor of 4158 and 4165 = 7
Step 1: Find the prime factorization of 4158
4158 = 2 x 3 x 3 x 3 x 7 x 11
Step 2: Find the prime factorization of 4165
4165 = 5 x 7 x 7 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 4158 and 4165 is 7