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 2155, 2162 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2155 and 2162 is 1.
GCF(2155,2162) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2155
5 | 2155 |
431 | 431 |
1 |
Prime factors of 2155 are 5,431. Prime factorization of 2155 in exponential form is:
2155 = 51×4311
Prime Factorization of 2162
2 | 2162 |
23 | 1081 |
47 | 47 |
1 |
Prime factors of 2162 are 2,23,47. Prime factorization of 2162 in exponential form is:
2162 = 21×231×471
∴ So by taking common prime factors GCF of 2155 and 2162 is 1
Factors of 2155
List of positive integer factors of 2155 that divides 2155 without a remainder.
1,5,431,2155
Factors of 2162
List of positive integer factors of 2162 that divides 2162 without a remainder.
1,2,23,46,47,94,1081,2162
Greatest Common Factor
We found the factors and prime factorization of 2155 and 2162. The biggest common factor number is the GCF number.
So the greatest common factor 2155 and 2162 is 1.
Also check out the Least Common Multiple of 2155 and 2162
(i) The GCF of 2155 and 2162 is associative
GCF of 2155 and 2162 = GCF of 2162 and 2155
1. What is the GCF of 2155 and 2162?
Answer: GCF of 2155 and 2162 is 1.
2. What are the Factors of 2155?
Answer: Factors of 2155 are 1, 5, 431, 2155. There are 4 integers that are factors of 2155. The greatest factor of 2155 is 2155.
3. What are the Factors of 2162?
Answer: Factors of 2162 are 1, 2, 23, 46, 47, 94, 1081, 2162. There are 8 integers that are factors of 2162. The greatest factor of 2162 is 2162.
4. How to Find the GCF of 2155 and 2162?
Answer:
Greatest Common Factor of 2155 and 2162 = 1
Step 1: Find the prime factorization of 2155
2155 = 5 x 431
Step 2: Find the prime factorization of 2162
2162 = 2 x 23 x 47
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 2155 and 2162 is 1