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 2184, 2191 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2184 and 2191 is 7.
GCF(2184,2191) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2184
2 | 2184 |
2 | 1092 |
2 | 546 |
3 | 273 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 2184 are 2,3,7,13. Prime factorization of 2184 in exponential form is:
2184 = 23×31×71×131
Prime Factorization of 2191
7 | 2191 |
313 | 313 |
1 |
Prime factors of 2191 are 7,313. Prime factorization of 2191 in exponential form is:
2191 = 71×3131
∴ So by taking common prime factors GCF of 2184 and 2191 is 7
Factors of 2184
List of positive integer factors of 2184 that divides 2184 without a remainder.
1,2,3,4,6,7,8,12,13,14,21,24,26,28,39,42,52,56,78,84,91,104,156,168,182,273,312,364,546,728,1092,2184
Factors of 2191
List of positive integer factors of 2191 that divides 2191 without a remainder.
1,7,313,2191
Greatest Common Factor
We found the factors and prime factorization of 2184 and 2191. The biggest common factor number is the GCF number.
So the greatest common factor 2184 and 2191 is 7.
Also check out the Least Common Multiple of 2184 and 2191
(i) The GCF of 2184 and 2191 is associative
GCF of 2184 and 2191 = GCF of 2191 and 2184
1. What is the GCF of 2184 and 2191?
Answer: GCF of 2184 and 2191 is 7.
2. What are the Factors of 2184?
Answer: Factors of 2184 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 273, 312, 364, 546, 728, 1092, 2184. There are 32 integers that are factors of 2184. The greatest factor of 2184 is 2184.
3. What are the Factors of 2191?
Answer: Factors of 2191 are 1, 7, 313, 2191. There are 4 integers that are factors of 2191. The greatest factor of 2191 is 2191.
4. How to Find the GCF of 2184 and 2191?
Answer:
Greatest Common Factor of 2184 and 2191 = 7
Step 1: Find the prime factorization of 2184
2184 = 2 x 2 x 2 x 3 x 7 x 13
Step 2: Find the prime factorization of 2191
2191 = 7 x 313
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 2184 and 2191 is 7