Greatest Common Factor of 6144 and 6150

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 6144, 6150 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6144 and 6150 is 6.

GCF(6144,6150) = 6

GCF of 6144 and 6150

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

GCF of:
and

Greatest Common Factor of 6144 and 6150

GCF of 6144 and 6150 is 6

Prime Factorization of 6144


2 6144
2 3072
2 1536
2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 6144 are 2,3. Prime factorization of 6144 in exponential form is:

6144 = 211×31

Prime Factorization of 6150


2 6150
3 3075
5 1025
5 205
41 41
1

Prime factors of 6150 are 2,3,5,41. Prime factorization of 6150 in exponential form is:

6150 = 21×31×52×411

∴ So by taking common prime factors GCF of 6144 and 6150 is 6

Greatest Common Factor of 6144 and 6150 by matching factors method

Factors of 6144

List of positive integer factors of 6144 that divides 6144 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,2048,3072,6144

Factors of 6150

List of positive integer factors of 6150 that divides 6150 without a remainder.

1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150

Greatest Common Factor

We found the factors and prime factorization of 6144 and 6150. The biggest common factor number is the GCF number.
So the greatest common factor 6144 and 6150 is 6.

Also check out the Least Common Multiple of 6144 and 6150

Properties of GCF 6144 and 6150

(i) The GCF of 6144 and 6150 is associative

GCF of 6144 and 6150 = GCF of 6150 and 6144

Related Greatest Common Factor of 6144

Related Greatest Common Factor of 6150

Frequently Asked Questions on GCF of 6144 and 6150

1. What is the GCF of 6144 and 6150?

Answer: GCF of 6144 and 6150 is 6.

2. What are the Factors of 6144?

Answer: Factors of 6144 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144. There are 24 integers that are factors of 6144. The greatest factor of 6144 is 6144.

3. What are the Factors of 6150?

Answer: Factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150. There are 24 integers that are factors of 6150. The greatest factor of 6150 is 6150.

4. How to Find the GCF of 6144 and 6150?

Answer:

Greatest Common Factor of 6144 and 6150 = 6

Step 1: Find the prime factorization of 6144

6144 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 6150

6150 = 2 x 3 x 5 x 5 x 41

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 6144 and 6150 is 6