Greatest Common Factor of 3108 and 3114

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, 3114 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3108 and 3114 is 6.

GCF(3108,3114) = 6

GCF of 3108 and 3114

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

GCF of:
and

Greatest Common Factor of 3108 and 3114

GCF of 3108 and 3114 is 6

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 3114


2 3114
3 1557
3 519
173 173
1

Prime factors of 3114 are 2,3,173. Prime factorization of 3114 in exponential form is:

3114 = 21×32×1731

∴ So by taking common prime factors GCF of 3108 and 3114 is 6

Greatest Common Factor of 3108 and 3114 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 3114

List of positive integer factors of 3114 that divides 3114 without a remainder.

1,2,3,6,9,18,173,346,519,1038,1557,3114

Greatest Common Factor

We found the factors and prime factorization of 3108 and 3114. The biggest common factor number is the GCF number.
So the greatest common factor 3108 and 3114 is 6.

Also check out the Least Common Multiple of 3108 and 3114

Properties of GCF 3108 and 3114

(i) The GCF of 3108 and 3114 is associative

GCF of 3108 and 3114 = GCF of 3114 and 3108

Related Greatest Common Factor of 3108

Related Greatest Common Factor of 3114

Frequently Asked Questions on GCF of 3108 and 3114

1. What is the GCF of 3108 and 3114?

Answer: GCF of 3108 and 3114 is 6.

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 3114?

Answer: Factors of 3114 are 1, 2, 3, 6, 9, 18, 173, 346, 519, 1038, 1557, 3114. There are 12 integers that are factors of 3114. The greatest factor of 3114 is 3114.

4. How to Find the GCF of 3108 and 3114?

Answer:

Greatest Common Factor of 3108 and 3114 = 6

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 3114

3114 = 2 x 3 x 3 x 173

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3108 and 3114 is 6