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 2210, 2214 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2210 and 2214 is 2.
GCF(2210,2214) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2210
2 | 2210 |
5 | 1105 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 2210 are 2,5,13,17. Prime factorization of 2210 in exponential form is:
2210 = 21×51×131×171
Prime Factorization of 2214
2 | 2214 |
3 | 1107 |
3 | 369 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 2214 are 2,3,41. Prime factorization of 2214 in exponential form is:
2214 = 21×33×411
∴ So by taking common prime factors GCF of 2210 and 2214 is 2
Factors of 2210
List of positive integer factors of 2210 that divides 2210 without a remainder.
1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210
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 2210 and 2214. The biggest common factor number is the GCF number.
So the greatest common factor 2210 and 2214 is 2.
Also check out the Least Common Multiple of 2210 and 2214
(i) The GCF of 2210 and 2214 is associative
GCF of 2210 and 2214 = GCF of 2214 and 2210
1. What is the GCF of 2210 and 2214?
Answer: GCF of 2210 and 2214 is 2.
2. What are the Factors of 2210?
Answer: Factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210. There are 16 integers that are factors of 2210. The greatest factor of 2210 is 2210.
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 2210 and 2214?
Answer:
Greatest Common Factor of 2210 and 2214 = 2
Step 1: Find the prime factorization of 2210
2210 = 2 x 5 x 13 x 17
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 = 2
Step 4: Therefore, the greatest common factor of 2210 and 2214 is 2