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 2115, 2117 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2115 and 2117 is 1.
GCF(2115,2117) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2117
29 | 2117 |
73 | 73 |
1 |
Prime factors of 2117 are 29,73. Prime factorization of 2117 in exponential form is:
2117 = 291×731
∴ So by taking common prime factors GCF of 2115 and 2117 is 1
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
Factors of 2117
List of positive integer factors of 2117 that divides 2117 without a remainder.
1,29,73,2117
Greatest Common Factor
We found the factors and prime factorization of 2115 and 2117. The biggest common factor number is the GCF number.
So the greatest common factor 2115 and 2117 is 1.
Also check out the Least Common Multiple of 2115 and 2117
(i) The GCF of 2115 and 2117 is associative
GCF of 2115 and 2117 = GCF of 2117 and 2115
1. What is the GCF of 2115 and 2117?
Answer: GCF of 2115 and 2117 is 1.
2. 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.
3. What are the Factors of 2117?
Answer: Factors of 2117 are 1, 29, 73, 2117. There are 4 integers that are factors of 2117. The greatest factor of 2117 is 2117.
4. How to Find the GCF of 2115 and 2117?
Answer:
Greatest Common Factor of 2115 and 2117 = 1
Step 1: Find the prime factorization of 2115
2115 = 3 x 3 x 5 x 47
Step 2: Find the prime factorization of 2117
2117 = 29 x 73
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 2115 and 2117 is 1