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 3108, 3113 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3108 and 3113 is 1.
GCF(3108,3113) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3108
2 | 3108 |
2 | 1554 |
3 | 777 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 3108 are 2,3,7,37. Prime factorization of 3108 in exponential form is:
3108 = 22×31×71×371
Prime Factorization of 3113
11 | 3113 |
283 | 283 |
1 |
Prime factors of 3113 are 11,283. Prime factorization of 3113 in exponential form is:
3113 = 111×2831
∴ So by taking common prime factors GCF of 3108 and 3113 is 1
Factors of 3108
List of positive integer factors of 3108 that divides 3108 without a remainder.
1,2,3,4,6,7,12,14,21,28,37,42,74,84,111,148,222,259,444,518,777,1036,1554,3108
Factors of 3113
List of positive integer factors of 3113 that divides 3113 without a remainder.
1,11,283,3113
Greatest Common Factor
We found the factors and prime factorization of 3108 and 3113. The biggest common factor number is the GCF number.
So the greatest common factor 3108 and 3113 is 1.
Also check out the Least Common Multiple of 3108 and 3113
(i) The GCF of 3108 and 3113 is associative
GCF of 3108 and 3113 = GCF of 3113 and 3108
1. What is the GCF of 3108 and 3113?
Answer: GCF of 3108 and 3113 is 1.
2. What are the Factors of 3108?
Answer: Factors of 3108 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554, 3108. There are 24 integers that are factors of 3108. The greatest factor of 3108 is 3108.
3. What are the Factors of 3113?
Answer: Factors of 3113 are 1, 11, 283, 3113. There are 4 integers that are factors of 3113. The greatest factor of 3113 is 3113.
4. How to Find the GCF of 3108 and 3113?
Answer:
Greatest Common Factor of 3108 and 3113 = 1
Step 1: Find the prime factorization of 3108
3108 = 2 x 2 x 3 x 7 x 37
Step 2: Find the prime factorization of 3113
3113 = 11 x 283
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 3108 and 3113 is 1