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 4151, 4158 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4151 and 4158 is 7.
GCF(4151,4158) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4151
7 | 4151 |
593 | 593 |
1 |
Prime factors of 4151 are 7,593. Prime factorization of 4151 in exponential form is:
4151 = 71×5931
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
∴ So by taking common prime factors GCF of 4151 and 4158 is 7
Factors of 4151
List of positive integer factors of 4151 that divides 4151 without a remainder.
1,7,593,4151
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
Greatest Common Factor
We found the factors and prime factorization of 4151 and 4158. The biggest common factor number is the GCF number.
So the greatest common factor 4151 and 4158 is 7.
Also check out the Least Common Multiple of 4151 and 4158
(i) The GCF of 4151 and 4158 is associative
GCF of 4151 and 4158 = GCF of 4158 and 4151
1. What is the GCF of 4151 and 4158?
Answer: GCF of 4151 and 4158 is 7.
2. What are the Factors of 4151?
Answer: Factors of 4151 are 1, 7, 593, 4151. There are 4 integers that are factors of 4151. The greatest factor of 4151 is 4151.
3. 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.
4. How to Find the GCF of 4151 and 4158?
Answer:
Greatest Common Factor of 4151 and 4158 = 7
Step 1: Find the prime factorization of 4151
4151 = 7 x 593
Step 2: Find the prime factorization of 4158
4158 = 2 x 3 x 3 x 3 x 7 x 11
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 4151 and 4158 is 7