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 2162, 2168 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2162 and 2168 is 2.
GCF(2162,2168) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2168
2 | 2168 |
2 | 1084 |
2 | 542 |
271 | 271 |
1 |
Prime factors of 2168 are 2,271. Prime factorization of 2168 in exponential form is:
2168 = 23×2711
∴ So by taking common prime factors GCF of 2162 and 2168 is 2
Factors of 2162
List of positive integer factors of 2162 that divides 2162 without a remainder.
1,2,23,46,47,94,1081,2162
Factors of 2168
List of positive integer factors of 2168 that divides 2168 without a remainder.
1,2,4,8,271,542,1084,2168
Greatest Common Factor
We found the factors and prime factorization of 2162 and 2168. The biggest common factor number is the GCF number.
So the greatest common factor 2162 and 2168 is 2.
Also check out the Least Common Multiple of 2162 and 2168
(i) The GCF of 2162 and 2168 is associative
GCF of 2162 and 2168 = GCF of 2168 and 2162
1. What is the GCF of 2162 and 2168?
Answer: GCF of 2162 and 2168 is 2.
2. 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.
3. What are the Factors of 2168?
Answer: Factors of 2168 are 1, 2, 4, 8, 271, 542, 1084, 2168. There are 8 integers that are factors of 2168. The greatest factor of 2168 is 2168.
4. How to Find the GCF of 2162 and 2168?
Answer:
Greatest Common Factor of 2162 and 2168 = 2
Step 1: Find the prime factorization of 2162
2162 = 2 x 23 x 47
Step 2: Find the prime factorization of 2168
2168 = 2 x 2 x 2 x 271
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2162 and 2168 is 2