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 2106, 2108 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2106 and 2108 is 2.
GCF(2106,2108) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2106
2 | 2106 |
3 | 1053 |
3 | 351 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 2106 are 2,3,13. Prime factorization of 2106 in exponential form is:
2106 = 21×34×131
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
∴ So by taking common prime factors GCF of 2106 and 2108 is 2
Factors of 2106
List of positive integer factors of 2106 that divides 2106 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,351,702,1053,2106
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
Greatest Common Factor
We found the factors and prime factorization of 2106 and 2108. The biggest common factor number is the GCF number.
So the greatest common factor 2106 and 2108 is 2.
Also check out the Least Common Multiple of 2106 and 2108
(i) The GCF of 2106 and 2108 is associative
GCF of 2106 and 2108 = GCF of 2108 and 2106
1. What is the GCF of 2106 and 2108?
Answer: GCF of 2106 and 2108 is 2.
2. What are the Factors of 2106?
Answer: Factors of 2106 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 351, 702, 1053, 2106. There are 20 integers that are factors of 2106. The greatest factor of 2106 is 2106.
3. 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.
4. How to Find the GCF of 2106 and 2108?
Answer:
Greatest Common Factor of 2106 and 2108 = 2
Step 1: Find the prime factorization of 2106
2106 = 2 x 3 x 3 x 3 x 3 x 13
Step 2: Find the prime factorization of 2108
2108 = 2 x 2 x 17 x 31
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 2106 and 2108 is 2