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 8157, 8162 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8157 and 8162 is 1.
GCF(8157,8162) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8157
3 | 8157 |
2719 | 2719 |
1 |
Prime factors of 8157 are 3,2719. Prime factorization of 8157 in exponential form is:
8157 = 31×27191
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 8157 and 8162 is 1
Factors of 8157
List of positive integer factors of 8157 that divides 8157 without a remainder.
1,3,2719,8157
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 8157 and 8162. The biggest common factor number is the GCF number.
So the greatest common factor 8157 and 8162 is 1.
Also check out the Least Common Multiple of 8157 and 8162
(i) The GCF of 8157 and 8162 is associative
GCF of 8157 and 8162 = GCF of 8162 and 8157
1. What is the GCF of 8157 and 8162?
Answer: GCF of 8157 and 8162 is 1.
2. What are the Factors of 8157?
Answer: Factors of 8157 are 1, 3, 2719, 8157. There are 4 integers that are factors of 8157. The greatest factor of 8157 is 8157.
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 8157 and 8162?
Answer:
Greatest Common Factor of 8157 and 8162 = 1
Step 1: Find the prime factorization of 8157
8157 = 3 x 2719
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 = = 1
Step 4: Therefore, the greatest common factor of 8157 and 8162 is 1