Greatest Common Factor of 3108 and 3113

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

GCF of 3108 and 3113

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

GCF of:
and

Greatest Common Factor of 3108 and 3113

GCF of 3108 and 3113 is 1

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

Greatest Common Factor of 3108 and 3113 by matching factors method

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

Properties of GCF 3108 and 3113

(i) The GCF of 3108 and 3113 is associative

GCF of 3108 and 3113 = GCF of 3113 and 3108

Frequently Asked Questions on GCF of 3108 and 3113

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