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 2209, 2214 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2209 and 2214 is 1.
GCF(2209,2214) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2209
47 | 2209 |
47 | 47 |
1 |
Prime factors of 2209 are 47. Prime factorization of 2209 in exponential form is:
2209 = 472
Prime Factorization of 2214
2 | 2214 |
3 | 1107 |
3 | 369 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 2214 are 2.Prime factorization of 2214 in exponential form is:
2214 = 21×33×411
∴ So by taking common prime factors GCF of 2209 and 2214 is 1
Factors of 2209
List of positive integer factors of 2209 that divides 2209 without a remainder.
1,47,2209
Factors of 2214
List of positive integer factors of 2214 that divides 2214 without a remainder.
1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214
Greatest Common Factor
We found the factors and prime factorization of 2209 and 2214. The biggest common factor number is the GCF number.
So the greatest common factor 2209 and 2214 is 1.
Also check out the Least Common Multiple of 2209 and 2214
(i) The GCF of 2209 and 2214 is associative
GCF of 2209 and 2214 = GCF of 2214 and 2209
1. What is the GCF of 2209 and 2214?
Answer: GCF of 2209 and 2214 is 1.
2. What are the Factors of 2209?
Answer: Factors of 2209 are 1, 47, 2209. There are 3 integers that are factors of 2209. The greatest factor of 2209 is 2209.
3. What are the Factors of 2214?
Answer: Factors of 2214 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214. There are 16 integers that are factors of 2214. The greatest factor of 2214 is 2214.
4. How to Find the GCF of 2209 and 2214?
Answer:
Greatest Common Factor of 2209 and 2214 = 1
Step 1: Find the prime factorization of 2209
2209 = 47 x 47
Step 2: Find the prime factorization of 2214
2214 = 2 x 3 x 3 x 3 x 41
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 2209 and 2214 is 1