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, 2115 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2108 and 2115 is 1.
GCF(2108,2115) = 1
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 2115
3 | 2115 |
3 | 705 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 2115 are 3,5,47. Prime factorization of 2115 in exponential form is:
2115 = 32×51×471
∴ So by taking common prime factors GCF of 2108 and 2115 is 1
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 2115
List of positive integer factors of 2115 that divides 2115 without a remainder.
1,3,5,9,15,45,47,141,235,423,705,2115
Greatest Common Factor
We found the factors and prime factorization of 2108 and 2115. The biggest common factor number is the GCF number.
So the greatest common factor 2108 and 2115 is 1.
Also check out the Least Common Multiple of 2108 and 2115
(i) The GCF of 2108 and 2115 is associative
GCF of 2108 and 2115 = GCF of 2115 and 2108
1. What is the GCF of 2108 and 2115?
Answer: GCF of 2108 and 2115 is 1.
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 2115?
Answer: Factors of 2115 are 1, 3, 5, 9, 15, 45, 47, 141, 235, 423, 705, 2115. There are 12 integers that are factors of 2115. The greatest factor of 2115 is 2115.
4. How to Find the GCF of 2108 and 2115?
Answer:
Greatest Common Factor of 2108 and 2115 = 1
Step 1: Find the prime factorization of 2108
2108 = 2 x 2 x 17 x 31
Step 2: Find the prime factorization of 2115
2115 = 3 x 3 x 5 x 47
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 2108 and 2115 is 1