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 3110, 3111 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3110 and 3111 is 1.
GCF(3110,3111) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3110
2 | 3110 |
5 | 1555 |
311 | 311 |
1 |
Prime factors of 3110 are 2,5,311. Prime factorization of 3110 in exponential form is:
3110 = 21×51×3111
Prime Factorization of 3111
3 | 3111 |
17 | 1037 |
61 | 61 |
1 |
Prime factors of 3111 are 3,17,61. Prime factorization of 3111 in exponential form is:
3111 = 31×171×611
∴ So by taking common prime factors GCF of 3110 and 3111 is 1
Factors of 3110
List of positive integer factors of 3110 that divides 3110 without a remainder.
1,2,5,10,311,622,1555,3110
Factors of 3111
List of positive integer factors of 3111 that divides 3111 without a remainder.
1,3,17,51,61,183,1037,3111
Greatest Common Factor
We found the factors and prime factorization of 3110 and 3111. The biggest common factor number is the GCF number.
So the greatest common factor 3110 and 3111 is 1.
Also check out the Least Common Multiple of 3110 and 3111
(i) The GCF of 3110 and 3111 is associative
GCF of 3110 and 3111 = GCF of 3111 and 3110
1. What is the GCF of 3110 and 3111?
Answer: GCF of 3110 and 3111 is 1.
2. What are the Factors of 3110?
Answer: Factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110. There are 8 integers that are factors of 3110. The greatest factor of 3110 is 3110.
3. What are the Factors of 3111?
Answer: Factors of 3111 are 1, 3, 17, 51, 61, 183, 1037, 3111. There are 8 integers that are factors of 3111. The greatest factor of 3111 is 3111.
4. How to Find the GCF of 3110 and 3111?
Answer:
Greatest Common Factor of 3110 and 3111 = 1
Step 1: Find the prime factorization of 3110
3110 = 2 x 5 x 311
Step 2: Find the prime factorization of 3111
3111 = 3 x 17 x 61
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 3110 and 3111 is 1