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, 3117 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3110 and 3117 is 1.
GCF(3110,3117) = 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 3117
3 | 3117 |
1039 | 1039 |
1 |
Prime factors of 3117 are 3,1039. Prime factorization of 3117 in exponential form is:
3117 = 31×10391
∴ So by taking common prime factors GCF of 3110 and 3117 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 3117
List of positive integer factors of 3117 that divides 3117 without a remainder.
1,3,1039,3117
Greatest Common Factor
We found the factors and prime factorization of 3110 and 3117. The biggest common factor number is the GCF number.
So the greatest common factor 3110 and 3117 is 1.
Also check out the Least Common Multiple of 3110 and 3117
(i) The GCF of 3110 and 3117 is associative
GCF of 3110 and 3117 = GCF of 3117 and 3110
1. What is the GCF of 3110 and 3117?
Answer: GCF of 3110 and 3117 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 3117?
Answer: Factors of 3117 are 1, 3, 1039, 3117. There are 4 integers that are factors of 3117. The greatest factor of 3117 is 3117.
4. How to Find the GCF of 3110 and 3117?
Answer:
Greatest Common Factor of 3110 and 3117 = 1
Step 1: Find the prime factorization of 3110
3110 = 2 x 5 x 311
Step 2: Find the prime factorization of 3117
3117 = 3 x 1039
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 3117 is 1