Greatest Common Factor of 3138 and 3146

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 3138, 3146 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3138 and 3146 is 2.

GCF(3138,3146) = 2

GCF of 3138 and 3146

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

GCF of:
and

Greatest Common Factor of 3138 and 3146

GCF of 3138 and 3146 is 2

Prime Factorization of 3138


2 3138
3 1569
523 523
1

Prime factors of 3138 are 2,3,523. Prime factorization of 3138 in exponential form is:

3138 = 21×31×5231

Prime Factorization of 3146


2 3146
11 1573
11 143
13 13
1

Prime factors of 3146 are 2,11,13. Prime factorization of 3146 in exponential form is:

3146 = 21×112×131

∴ So by taking common prime factors GCF of 3138 and 3146 is 2

Greatest Common Factor of 3138 and 3146 by matching factors method

Factors of 3138

List of positive integer factors of 3138 that divides 3138 without a remainder.

1,2,3,6,523,1046,1569,3138

Factors of 3146

List of positive integer factors of 3146 that divides 3146 without a remainder.

1,2,11,13,22,26,121,143,242,286,1573,3146

Greatest Common Factor

We found the factors and prime factorization of 3138 and 3146. The biggest common factor number is the GCF number.
So the greatest common factor 3138 and 3146 is 2.

Also check out the Least Common Multiple of 3138 and 3146

Properties of GCF 3138 and 3146

(i) The GCF of 3138 and 3146 is associative

GCF of 3138 and 3146 = GCF of 3146 and 3138

Related Greatest Common Factor of 3138

Related Greatest Common Factor of 3146

Frequently Asked Questions on GCF of 3138 and 3146

1. What is the GCF of 3138 and 3146?

Answer: GCF of 3138 and 3146 is 2.

2. What are the Factors of 3138?

Answer: Factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138. There are 8 integers that are factors of 3138. The greatest factor of 3138 is 3138.

3. What are the Factors of 3146?

Answer: Factors of 3146 are 1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146. There are 12 integers that are factors of 3146. The greatest factor of 3146 is 3146.

4. How to Find the GCF of 3138 and 3146?

Answer:

Greatest Common Factor of 3138 and 3146 = 2

Step 1: Find the prime factorization of 3138

3138 = 2 x 3 x 523

Step 2: Find the prime factorization of 3146

3146 = 2 x 11 x 11 x 13

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 3138 and 3146 is 2