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 3103, 3110 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3103 and 3110 is 1.
GCF(3103,3110) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3103
29 | 3103 |
107 | 107 |
1 |
Prime factors of 3103 are 29,107. Prime factorization of 3103 in exponential form is:
3103 = 291×1071
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
∴ So by taking common prime factors GCF of 3103 and 3110 is 1
Factors of 3103
List of positive integer factors of 3103 that divides 3103 without a remainder.
1,29,107,3103
Factors of 3110
List of positive integer factors of 3110 that divides 3110 without a remainder.
1,2,5,10,311,622,1555,3110
Greatest Common Factor
We found the factors and prime factorization of 3103 and 3110. The biggest common factor number is the GCF number.
So the greatest common factor 3103 and 3110 is 1.
Also check out the Least Common Multiple of 3103 and 3110
(i) The GCF of 3103 and 3110 is associative
GCF of 3103 and 3110 = GCF of 3110 and 3103
1. What is the GCF of 3103 and 3110?
Answer: GCF of 3103 and 3110 is 1.
2. What are the Factors of 3103?
Answer: Factors of 3103 are 1, 29, 107, 3103. There are 4 integers that are factors of 3103. The greatest factor of 3103 is 3103.
3. 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.
4. How to Find the GCF of 3103 and 3110?
Answer:
Greatest Common Factor of 3103 and 3110 = 1
Step 1: Find the prime factorization of 3103
3103 = 29 x 107
Step 2: Find the prime factorization of 3110
3110 = 2 x 5 x 311
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 3103 and 3110 is 1