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, 2174 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2166 and 2174 is 2.
GCF(2166,2174) = 2
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 2174
2 | 2174 |
1087 | 1087 |
1 |
Prime factors of 2174 are 2,1087. Prime factorization of 2174 in exponential form is:
2174 = 21×10871
∴ So by taking common prime factors GCF of 2166 and 2174 is 2
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 2174
List of positive integer factors of 2174 that divides 2174 without a remainder.
1,2,1087,2174
Greatest Common Factor
We found the factors and prime factorization of 2166 and 2174. The biggest common factor number is the GCF number.
So the greatest common factor 2166 and 2174 is 2.
Also check out the Least Common Multiple of 2166 and 2174
(i) The GCF of 2166 and 2174 is associative
GCF of 2166 and 2174 = GCF of 2174 and 2166
1. What is the GCF of 2166 and 2174?
Answer: GCF of 2166 and 2174 is 2.
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 2174?
Answer: Factors of 2174 are 1, 2, 1087, 2174. There are 4 integers that are factors of 2174. The greatest factor of 2174 is 2174.
4. How to Find the GCF of 2166 and 2174?
Answer:
Greatest Common Factor of 2166 and 2174 = 2
Step 1: Find the prime factorization of 2166
2166 = 2 x 3 x 19 x 19
Step 2: Find the prime factorization of 2174
2174 = 2 x 1087
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 2166 and 2174 is 2