Greatest Common Factor of 3107 and 3111

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, 3111 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3107 and 3111 is 1.

GCF(3107,3111) = 1

GCF of 3107 and 3111

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3107 and 3111

GCF of 3107 and 3111 is 1

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 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

∴ So by taking common prime factors GCF of 3107 and 3111 is 1

Greatest Common Factor of 3107 and 3111 by matching factors method

Factors of 3107

List of positive integer factors of 3107 that divides 3107 without a remainder.

1,13,239,3107

Factors of 3111

List of positive integer factors of 3111 that divides 3111 without a remainder.

1,3,17,51,61,183,1037,3111

Greatest Common Factor

We found the factors and prime factorization of 3107 and 3111. The biggest common factor number is the GCF number.
So the greatest common factor 3107 and 3111 is 1.

Also check out the Least Common Multiple of 3107 and 3111

Properties of GCF 3107 and 3111

(i) The GCF of 3107 and 3111 is associative

GCF of 3107 and 3111 = GCF of 3111 and 3107

Frequently Asked Questions on GCF of 3107 and 3111

1. What is the GCF of 3107 and 3111?

Answer: GCF of 3107 and 3111 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 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.

4. How to Find the GCF of 3107 and 3111?

Answer:

Greatest Common Factor of 3107 and 3111 = 1

Step 1: Find the prime factorization of 3107

3107 = 13 x 239

Step 2: Find the prime factorization of 3111

3111 = 3 x 17 x 61

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 3111 is 1