Greatest Common Factor of 6142 and 6144

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 6142, 6144 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6142 and 6144 is 2.

GCF(6142,6144) = 2

GCF of 6142 and 6144

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

GCF of:
and

Greatest Common Factor of 6142 and 6144

GCF of 6142 and 6144 is 2

Prime Factorization of 6142


2 6142
37 3071
83 83
1

Prime factors of 6142 are 2,37,83. Prime factorization of 6142 in exponential form is:

6142 = 21×371×831

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

∴ So by taking common prime factors GCF of 6142 and 6144 is 2

Greatest Common Factor of 6142 and 6144 by matching factors method

Factors of 6142

List of positive integer factors of 6142 that divides 6142 without a remainder.

1,2,37,74,83,166,3071,6142

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

Greatest Common Factor

We found the factors and prime factorization of 6142 and 6144. The biggest common factor number is the GCF number.
So the greatest common factor 6142 and 6144 is 2.

Also check out the Least Common Multiple of 6142 and 6144

Properties of GCF 6142 and 6144

(i) The GCF of 6142 and 6144 is associative

GCF of 6142 and 6144 = GCF of 6144 and 6142

Related Greatest Common Factor of 6142

Related Greatest Common Factor of 6144

Frequently Asked Questions on GCF of 6142 and 6144

1. What is the GCF of 6142 and 6144?

Answer: GCF of 6142 and 6144 is 2.

2. What are the Factors of 6142?

Answer: Factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142. There are 8 integers that are factors of 6142. The greatest factor of 6142 is 6142.

3. 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.

4. How to Find the GCF of 6142 and 6144?

Answer:

Greatest Common Factor of 6142 and 6144 = 2

Step 1: Find the prime factorization of 6142

6142 = 2 x 37 x 83

Step 2: 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 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 6142 and 6144 is 2