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 3111, 3112 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3111 and 3112 is 1.
GCF(3111,3112) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3112
2 | 3112 |
2 | 1556 |
2 | 778 |
389 | 389 |
1 |
Prime factors of 3112 are 2,389. Prime factorization of 3112 in exponential form is:
3112 = 23×3891
∴ So by taking common prime factors GCF of 3111 and 3112 is 1
Factors of 3111
List of positive integer factors of 3111 that divides 3111 without a remainder.
1,3,17,51,61,183,1037,3111
Factors of 3112
List of positive integer factors of 3112 that divides 3112 without a remainder.
1,2,4,8,389,778,1556,3112
Greatest Common Factor
We found the factors and prime factorization of 3111 and 3112. The biggest common factor number is the GCF number.
So the greatest common factor 3111 and 3112 is 1.
Also check out the Least Common Multiple of 3111 and 3112
(i) The GCF of 3111 and 3112 is associative
GCF of 3111 and 3112 = GCF of 3112 and 3111
1. What is the GCF of 3111 and 3112?
Answer: GCF of 3111 and 3112 is 1.
2. 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.
3. What are the Factors of 3112?
Answer: Factors of 3112 are 1, 2, 4, 8, 389, 778, 1556, 3112. There are 8 integers that are factors of 3112. The greatest factor of 3112 is 3112.
4. How to Find the GCF of 3111 and 3112?
Answer:
Greatest Common Factor of 3111 and 3112 = 1
Step 1: Find the prime factorization of 3111
3111 = 3 x 17 x 61
Step 2: Find the prime factorization of 3112
3112 = 2 x 2 x 2 x 389
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 3111 and 3112 is 1