Greatest Common Factor of 3144 and 3147

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 3144, 3147 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3144 and 3147 is 3.

GCF(3144,3147) = 3

GCF of 3144 and 3147

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

GCF of:
and

Greatest Common Factor of 3144 and 3147

GCF of 3144 and 3147 is 3

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

Prime Factorization of 3147


3 3147
1049 1049
1

Prime factors of 3147 are 3,1049. Prime factorization of 3147 in exponential form is:

3147 = 31×10491

∴ So by taking common prime factors GCF of 3144 and 3147 is 3

Greatest Common Factor of 3144 and 3147 by matching factors method

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

Factors of 3147

List of positive integer factors of 3147 that divides 3147 without a remainder.

1,3,1049,3147

Greatest Common Factor

We found the factors and prime factorization of 3144 and 3147. The biggest common factor number is the GCF number.
So the greatest common factor 3144 and 3147 is 3.

Also check out the Least Common Multiple of 3144 and 3147

Properties of GCF 3144 and 3147

(i) The GCF of 3144 and 3147 is associative

GCF of 3144 and 3147 = GCF of 3147 and 3144

Related Greatest Common Factor of 3144

Related Greatest Common Factor of 3147

Frequently Asked Questions on GCF of 3144 and 3147

1. What is the GCF of 3144 and 3147?

Answer: GCF of 3144 and 3147 is 3.

2. 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.

3. What are the Factors of 3147?

Answer: Factors of 3147 are 1, 3, 1049, 3147. There are 4 integers that are factors of 3147. The greatest factor of 3147 is 3147.

4. How to Find the GCF of 3144 and 3147?

Answer:

Greatest Common Factor of 3144 and 3147 = 3

Step 1: Find the prime factorization of 3144

3144 = 2 x 2 x 2 x 3 x 131

Step 2: Find the prime factorization of 3147

3147 = 3 x 1049

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3144 and 3147 is 3