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 2108, 2110 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2108 and 2110 is 2.
GCF(2108,2110) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2108
2 | 2108 |
2 | 1054 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 2108 are 2,17,31. Prime factorization of 2108 in exponential form is:
2108 = 22×171×311
Prime Factorization of 2110
2 | 2110 |
5 | 1055 |
211 | 211 |
1 |
Prime factors of 2110 are 2,5,211. Prime factorization of 2110 in exponential form is:
2110 = 21×51×2111
∴ So by taking common prime factors GCF of 2108 and 2110 is 2
Factors of 2108
List of positive integer factors of 2108 that divides 2108 without a remainder.
1,2,4,17,31,34,62,68,124,527,1054,2108
Factors of 2110
List of positive integer factors of 2110 that divides 2110 without a remainder.
1,2,5,10,211,422,1055,2110
Greatest Common Factor
We found the factors and prime factorization of 2108 and 2110. The biggest common factor number is the GCF number.
So the greatest common factor 2108 and 2110 is 2.
Also check out the Least Common Multiple of 2108 and 2110
(i) The GCF of 2108 and 2110 is associative
GCF of 2108 and 2110 = GCF of 2110 and 2108
1. What is the GCF of 2108 and 2110?
Answer: GCF of 2108 and 2110 is 2.
2. What are the Factors of 2108?
Answer: Factors of 2108 are 1, 2, 4, 17, 31, 34, 62, 68, 124, 527, 1054, 2108. There are 12 integers that are factors of 2108. The greatest factor of 2108 is 2108.
3. What are the Factors of 2110?
Answer: Factors of 2110 are 1, 2, 5, 10, 211, 422, 1055, 2110. There are 8 integers that are factors of 2110. The greatest factor of 2110 is 2110.
4. How to Find the GCF of 2108 and 2110?
Answer:
Greatest Common Factor of 2108 and 2110 = 2
Step 1: Find the prime factorization of 2108
2108 = 2 x 2 x 17 x 31
Step 2: Find the prime factorization of 2110
2110 = 2 x 5 x 211
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 2108 and 2110 is 2