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 2166, 2167 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2166 and 2167 is 1.
GCF(2166,2167) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2166
2 | 2166 |
3 | 1083 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 2166 are 2,3,19. Prime factorization of 2166 in exponential form is:
2166 = 21×31×192
Prime Factorization of 2167
11 | 2167 |
197 | 197 |
1 |
Prime factors of 2167 are 11,197. Prime factorization of 2167 in exponential form is:
2167 = 111×1971
∴ So by taking common prime factors GCF of 2166 and 2167 is 1
Factors of 2166
List of positive integer factors of 2166 that divides 2166 without a remainder.
1,2,3,6,19,38,57,114,361,722,1083,2166
Factors of 2167
List of positive integer factors of 2167 that divides 2167 without a remainder.
1,11,197,2167
Greatest Common Factor
We found the factors and prime factorization of 2166 and 2167. The biggest common factor number is the GCF number.
So the greatest common factor 2166 and 2167 is 1.
Also check out the Least Common Multiple of 2166 and 2167
(i) The GCF of 2166 and 2167 is associative
GCF of 2166 and 2167 = GCF of 2167 and 2166
1. What is the GCF of 2166 and 2167?
Answer: GCF of 2166 and 2167 is 1.
2. What are the Factors of 2166?
Answer: Factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166. There are 12 integers that are factors of 2166. The greatest factor of 2166 is 2166.
3. What are the Factors of 2167?
Answer: Factors of 2167 are 1, 11, 197, 2167. There are 4 integers that are factors of 2167. The greatest factor of 2167 is 2167.
4. How to Find the GCF of 2166 and 2167?
Answer:
Greatest Common Factor of 2166 and 2167 = 1
Step 1: Find the prime factorization of 2166
2166 = 2 x 3 x 19 x 19
Step 2: Find the prime factorization of 2167
2167 = 11 x 197
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 2166 and 2167 is 1