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, 2169 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2162 and 2169 is 1.
GCF(2162,2169) = 1
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 2169
3 | 2169 |
3 | 723 |
241 | 241 |
1 |
Prime factors of 2169 are 3,241. Prime factorization of 2169 in exponential form is:
2169 = 32×2411
∴ So by taking common prime factors GCF of 2162 and 2169 is 1
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 2169
List of positive integer factors of 2169 that divides 2169 without a remainder.
1,3,9,241,723,2169
Greatest Common Factor
We found the factors and prime factorization of 2162 and 2169. The biggest common factor number is the GCF number.
So the greatest common factor 2162 and 2169 is 1.
Also check out the Least Common Multiple of 2162 and 2169
(i) The GCF of 2162 and 2169 is associative
GCF of 2162 and 2169 = GCF of 2169 and 2162
1. What is the GCF of 2162 and 2169?
Answer: GCF of 2162 and 2169 is 1.
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 2169?
Answer: Factors of 2169 are 1, 3, 9, 241, 723, 2169. There are 6 integers that are factors of 2169. The greatest factor of 2169 is 2169.
4. How to Find the GCF of 2162 and 2169?
Answer:
Greatest Common Factor of 2162 and 2169 = 1
Step 1: Find the prime factorization of 2162
2162 = 2 x 23 x 47
Step 2: Find the prime factorization of 2169
2169 = 3 x 3 x 241
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 2162 and 2169 is 1