Greatest Common Factor of 3102 and 3110

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 3102, 3110 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3102 and 3110 is 2.

GCF(3102,3110) = 2

GCF of 3102 and 3110

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

GCF of:
and

Greatest Common Factor of 3102 and 3110

GCF of 3102 and 3110 is 2

Prime Factorization of 3102


2 3102
3 1551
11 517
47 47
1

Prime factors of 3102 are 2,3,11,47. Prime factorization of 3102 in exponential form is:

3102 = 21×31×111×471

Prime Factorization of 3110


2 3110
5 1555
311 311
1

Prime factors of 3110 are 2,5,311. Prime factorization of 3110 in exponential form is:

3110 = 21×51×3111

∴ So by taking common prime factors GCF of 3102 and 3110 is 2

Greatest Common Factor of 3102 and 3110 by matching factors method

Factors of 3102

List of positive integer factors of 3102 that divides 3102 without a remainder.

1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102

Factors of 3110

List of positive integer factors of 3110 that divides 3110 without a remainder.

1,2,5,10,311,622,1555,3110

Greatest Common Factor

We found the factors and prime factorization of 3102 and 3110. The biggest common factor number is the GCF number.
So the greatest common factor 3102 and 3110 is 2.

Also check out the Least Common Multiple of 3102 and 3110

Properties of GCF 3102 and 3110

(i) The GCF of 3102 and 3110 is associative

GCF of 3102 and 3110 = GCF of 3110 and 3102

Related Greatest Common Factor of 3102

Related Greatest Common Factor of 3110

Frequently Asked Questions on GCF of 3102 and 3110

1. What is the GCF of 3102 and 3110?

Answer: GCF of 3102 and 3110 is 2.

2. What are the Factors of 3102?

Answer: Factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102. There are 16 integers that are factors of 3102. The greatest factor of 3102 is 3102.

3. What are the Factors of 3110?

Answer: Factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110. There are 8 integers that are factors of 3110. The greatest factor of 3110 is 3110.

4. How to Find the GCF of 3102 and 3110?

Answer:

Greatest Common Factor of 3102 and 3110 = 2

Step 1: Find the prime factorization of 3102

3102 = 2 x 3 x 11 x 47

Step 2: Find the prime factorization of 3110

3110 = 2 x 5 x 311

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3102 and 3110 is 2