Greatest Common Factor of 3138 and 3144

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, 3144 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3138 and 3144 is 6.

GCF(3138,3144) = 6

GCF of 3138 and 3144

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

GCF of:
and

Greatest Common Factor of 3138 and 3144

GCF of 3138 and 3144 is 6

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 3144


2 3144
2 1572
2 786
3 393
131 131
1

Prime factors of 3144 are 2,3,131. Prime factorization of 3144 in exponential form is:

3144 = 23×31×1311

∴ So by taking common prime factors GCF of 3138 and 3144 is 6

Greatest Common Factor of 3138 and 3144 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 3144

List of positive integer factors of 3144 that divides 3144 without a remainder.

1,2,3,4,6,8,12,24,131,262,393,524,786,1048,1572,3144

Greatest Common Factor

We found the factors and prime factorization of 3138 and 3144. The biggest common factor number is the GCF number.
So the greatest common factor 3138 and 3144 is 6.

Also check out the Least Common Multiple of 3138 and 3144

Properties of GCF 3138 and 3144

(i) The GCF of 3138 and 3144 is associative

GCF of 3138 and 3144 = GCF of 3144 and 3138

Related Greatest Common Factor of 3138

Related Greatest Common Factor of 3144

Frequently Asked Questions on GCF of 3138 and 3144

1. What is the GCF of 3138 and 3144?

Answer: GCF of 3138 and 3144 is 6.

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 3144?

Answer: Factors of 3144 are 1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144. There are 16 integers that are factors of 3144. The greatest factor of 3144 is 3144.

4. How to Find the GCF of 3138 and 3144?

Answer:

Greatest Common Factor of 3138 and 3144 = 6

Step 1: Find the prime factorization of 3138

3138 = 2 x 3 x 523

Step 2: Find the prime factorization of 3144

3144 = 2 x 2 x 2 x 3 x 131

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 3138 and 3144 is 6