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 2181, 2189 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2181 and 2189 is 1.
GCF(2181,2189) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2181
3 | 2181 |
727 | 727 |
1 |
Prime factors of 2181 are 3,727. Prime factorization of 2181 in exponential form is:
2181 = 31×7271
Prime Factorization of 2189
11 | 2189 |
199 | 199 |
1 |
Prime factors of 2189 are 11,199. Prime factorization of 2189 in exponential form is:
2189 = 111×1991
∴ So by taking common prime factors GCF of 2181 and 2189 is 1
Factors of 2181
List of positive integer factors of 2181 that divides 2181 without a remainder.
1,3,727,2181
Factors of 2189
List of positive integer factors of 2189 that divides 2189 without a remainder.
1,11,199,2189
Greatest Common Factor
We found the factors and prime factorization of 2181 and 2189. The biggest common factor number is the GCF number.
So the greatest common factor 2181 and 2189 is 1.
Also check out the Least Common Multiple of 2181 and 2189
(i) The GCF of 2181 and 2189 is associative
GCF of 2181 and 2189 = GCF of 2189 and 2181
1. What is the GCF of 2181 and 2189?
Answer: GCF of 2181 and 2189 is 1.
2. What are the Factors of 2181?
Answer: Factors of 2181 are 1, 3, 727, 2181. There are 4 integers that are factors of 2181. The greatest factor of 2181 is 2181.
3. What are the Factors of 2189?
Answer: Factors of 2189 are 1, 11, 199, 2189. There are 4 integers that are factors of 2189. The greatest factor of 2189 is 2189.
4. How to Find the GCF of 2181 and 2189?
Answer:
Greatest Common Factor of 2181 and 2189 = 1
Step 1: Find the prime factorization of 2181
2181 = 3 x 727
Step 2: Find the prime factorization of 2189
2189 = 11 x 199
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 2181 and 2189 is 1