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 3107, 3109 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3107 and 3109 is 1.
GCF(3107,3109) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3107
13 | 3107 |
239 | 239 |
1 |
Prime factors of 3107 are 13,239. Prime factorization of 3107 in exponential form is:
3107 = 131×2391
Prime Factorization of 3109
3109 | 3109 |
1 |
Prime factors of 3109 are 3109. Prime factorization of 3109 in exponential form is:
3109 = 31091
∴ So by taking common prime factors GCF of 3107 and 3109 is 1
Factors of 3107
List of positive integer factors of 3107 that divides 3107 without a remainder.
1,13,239,3107
Factors of 3109
List of positive integer factors of 3109 that divides 3109 without a remainder.
1,3109
Greatest Common Factor
We found the factors and prime factorization of 3107 and 3109. The biggest common factor number is the GCF number.
So the greatest common factor 3107 and 3109 is 1.
Also check out the Least Common Multiple of 3107 and 3109
(i) The GCF of 3107 and 3109 is associative
GCF of 3107 and 3109 = GCF of 3109 and 3107
1. What is the GCF of 3107 and 3109?
Answer: GCF of 3107 and 3109 is 1.
2. What are the Factors of 3107?
Answer: Factors of 3107 are 1, 13, 239, 3107. There are 4 integers that are factors of 3107. The greatest factor of 3107 is 3107.
3. What are the Factors of 3109?
Answer: Factors of 3109 are 1, 3109. There are 2 integers that are factors of 3109. The greatest factor of 3109 is 3109.
4. How to Find the GCF of 3107 and 3109?
Answer:
Greatest Common Factor of 3107 and 3109 = 1
Step 1: Find the prime factorization of 3107
3107 = 13 x 239
Step 2: Find the prime factorization of 3109
3109 = 3109
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 3107 and 3109 is 1