Greatest Common Factor of 3144 and 3150

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, 3150 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3144 and 3150 is 6.

GCF(3144,3150) = 6

GCF of 3144 and 3150

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

GCF of:
and

Greatest Common Factor of 3144 and 3150

GCF of 3144 and 3150 is 6

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 3150


2 3150
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 3150 are 2,3,5,7. Prime factorization of 3150 in exponential form is:

3150 = 21×32×52×71

∴ So by taking common prime factors GCF of 3144 and 3150 is 6

Greatest Common Factor of 3144 and 3150 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 3150

List of positive integer factors of 3150 that divides 3150 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150

Greatest Common Factor

We found the factors and prime factorization of 3144 and 3150. The biggest common factor number is the GCF number.
So the greatest common factor 3144 and 3150 is 6.

Also check out the Least Common Multiple of 3144 and 3150

Properties of GCF 3144 and 3150

(i) The GCF of 3144 and 3150 is associative

GCF of 3144 and 3150 = GCF of 3150 and 3144

Related Greatest Common Factor of 3144

Related Greatest Common Factor of 3150

Frequently Asked Questions on GCF of 3144 and 3150

1. What is the GCF of 3144 and 3150?

Answer: GCF of 3144 and 3150 is 6.

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 3150?

Answer: Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150. There are 36 integers that are factors of 3150. The greatest factor of 3150 is 3150.

4. How to Find the GCF of 3144 and 3150?

Answer:

Greatest Common Factor of 3144 and 3150 = 6

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 3150

3150 = 2 x 3 x 3 x 5 x 5 x 7

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 3144 and 3150 is 6