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 2189, 2196 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2189 and 2196 is 1.
GCF(2189,2196) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2196
2 | 2196 |
2 | 1098 |
3 | 549 |
3 | 183 |
61 | 61 |
1 |
Prime factors of 2196 are 2,3,61. Prime factorization of 2196 in exponential form is:
2196 = 22×32×611
∴ So by taking common prime factors GCF of 2189 and 2196 is 1
Factors of 2189
List of positive integer factors of 2189 that divides 2189 without a remainder.
1,11,199,2189
Factors of 2196
List of positive integer factors of 2196 that divides 2196 without a remainder.
1,2,3,4,6,9,12,18,36,61,122,183,244,366,549,732,1098,2196
Greatest Common Factor
We found the factors and prime factorization of 2189 and 2196. The biggest common factor number is the GCF number.
So the greatest common factor 2189 and 2196 is 1.
Also check out the Least Common Multiple of 2189 and 2196
(i) The GCF of 2189 and 2196 is associative
GCF of 2189 and 2196 = GCF of 2196 and 2189
1. What is the GCF of 2189 and 2196?
Answer: GCF of 2189 and 2196 is 1.
2. 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.
3. What are the Factors of 2196?
Answer: Factors of 2196 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098, 2196. There are 18 integers that are factors of 2196. The greatest factor of 2196 is 2196.
4. How to Find the GCF of 2189 and 2196?
Answer:
Greatest Common Factor of 2189 and 2196 = 1
Step 1: Find the prime factorization of 2189
2189 = 11 x 199
Step 2: Find the prime factorization of 2196
2196 = 2 x 2 x 3 x 3 x 61
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 2189 and 2196 is 1