Greatest Common Factor of 6138 and 6142

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 6138, 6142 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6138 and 6142 is 2.

GCF(6138,6142) = 2

GCF of 6138 and 6142

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

GCF of:
and

Greatest Common Factor of 6138 and 6142

GCF of 6138 and 6142 is 2

Prime Factorization of 6138


2 6138
3 3069
3 1023
11 341
31 31
1

Prime factors of 6138 are 2,3,11,31. Prime factorization of 6138 in exponential form is:

6138 = 21×32×111×311

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

∴ So by taking common prime factors GCF of 6138 and 6142 is 2

Greatest Common Factor of 6138 and 6142 by matching factors method

Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138

Factors of 6142

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

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

Greatest Common Factor

We found the factors and prime factorization of 6138 and 6142. The biggest common factor number is the GCF number.
So the greatest common factor 6138 and 6142 is 2.

Also check out the Least Common Multiple of 6138 and 6142

Properties of GCF 6138 and 6142

(i) The GCF of 6138 and 6142 is associative

GCF of 6138 and 6142 = GCF of 6142 and 6138

Related Greatest Common Factor of 6138

Related Greatest Common Factor of 6142

Frequently Asked Questions on GCF of 6138 and 6142

1. What is the GCF of 6138 and 6142?

Answer: GCF of 6138 and 6142 is 2.

2. What are the Factors of 6138?

Answer: Factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138. There are 24 integers that are factors of 6138. The greatest factor of 6138 is 6138.

3. 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.

4. How to Find the GCF of 6138 and 6142?

Answer:

Greatest Common Factor of 6138 and 6142 = 2

Step 1: Find the prime factorization of 6138

6138 = 2 x 3 x 3 x 11 x 31

Step 2: Find the prime factorization of 6142

6142 = 2 x 37 x 83

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 6138 and 6142 is 2