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 8155, 8162 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8155 and 8162 is 7.
GCF(8155,8162) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8155
5 | 8155 |
7 | 1631 |
233 | 233 |
1 |
Prime factors of 8155 are 5,7,233. Prime factorization of 8155 in exponential form is:
8155 = 51×71×2331
Prime Factorization of 8162
2 | 8162 |
7 | 4081 |
11 | 583 |
53 | 53 |
1 |
Prime factors of 8162 are 2,7,11,53. Prime factorization of 8162 in exponential form is:
8162 = 21×71×111×531
∴ So by taking common prime factors GCF of 8155 and 8162 is 7
Factors of 8155
List of positive integer factors of 8155 that divides 8155 without a remainder.
1,5,7,35,233,1165,1631,8155
Factors of 8162
List of positive integer factors of 8162 that divides 8162 without a remainder.
1,2,7,11,14,22,53,77,106,154,371,583,742,1166,4081,8162
Greatest Common Factor
We found the factors and prime factorization of 8155 and 8162. The biggest common factor number is the GCF number.
So the greatest common factor 8155 and 8162 is 7.
Also check out the Least Common Multiple of 8155 and 8162
(i) The GCF of 8155 and 8162 is associative
GCF of 8155 and 8162 = GCF of 8162 and 8155
1. What is the GCF of 8155 and 8162?
Answer: GCF of 8155 and 8162 is 7.
2. What are the Factors of 8155?
Answer: Factors of 8155 are 1, 5, 7, 35, 233, 1165, 1631, 8155. There are 8 integers that are factors of 8155. The greatest factor of 8155 is 8155.
3. What are the Factors of 8162?
Answer: Factors of 8162 are 1, 2, 7, 11, 14, 22, 53, 77, 106, 154, 371, 583, 742, 1166, 4081, 8162. There are 16 integers that are factors of 8162. The greatest factor of 8162 is 8162.
4. How to Find the GCF of 8155 and 8162?
Answer:
Greatest Common Factor of 8155 and 8162 = 7
Step 1: Find the prime factorization of 8155
8155 = 5 x 7 x 233
Step 2: Find the prime factorization of 8162
8162 = 2 x 7 x 11 x 53
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 8155 and 8162 is 7