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 2104, 2106 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2104 and 2106 is 2.
GCF(2104,2106) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2104
2 | 2104 |
2 | 1052 |
2 | 526 |
263 | 263 |
1 |
Prime factors of 2104 are 2,263. Prime factorization of 2104 in exponential form is:
2104 = 23×2631
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
∴ So by taking common prime factors GCF of 2104 and 2106 is 2
Factors of 2104
List of positive integer factors of 2104 that divides 2104 without a remainder.
1,2,4,8,263,526,1052,2104
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
Greatest Common Factor
We found the factors and prime factorization of 2104 and 2106. The biggest common factor number is the GCF number.
So the greatest common factor 2104 and 2106 is 2.
Also check out the Least Common Multiple of 2104 and 2106
(i) The GCF of 2104 and 2106 is associative
GCF of 2104 and 2106 = GCF of 2106 and 2104
1. What is the GCF of 2104 and 2106?
Answer: GCF of 2104 and 2106 is 2.
2. What are the Factors of 2104?
Answer: Factors of 2104 are 1, 2, 4, 8, 263, 526, 1052, 2104. There are 8 integers that are factors of 2104. The greatest factor of 2104 is 2104.
3. 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.
4. How to Find the GCF of 2104 and 2106?
Answer:
Greatest Common Factor of 2104 and 2106 = 2
Step 1: Find the prime factorization of 2104
2104 = 2 x 2 x 2 x 263
Step 2: Find the prime factorization of 2106
2106 = 2 x 3 x 3 x 3 x 3 x 13
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 2104 and 2106 is 2