Greatest Common Factor of 6140 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 6140, 6142 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6140 and 6142 is 2.

GCF(6140,6142) = 2

GCF of 6140 and 6142

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

GCF of:
and

Greatest Common Factor of 6140 and 6142

GCF of 6140 and 6142 is 2

Prime Factorization of 6140


2 6140
2 3070
5 1535
307 307
1

Prime factors of 6140 are 2,5,307. Prime factorization of 6140 in exponential form is:

6140 = 22×51×3071

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 6140 and 6142 is 2

Greatest Common Factor of 6140 and 6142 by matching factors method

Factors of 6140

List of positive integer factors of 6140 that divides 6140 without a remainder.

1,2,4,5,10,20,307,614,1228,1535,3070,6140

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 6140 and 6142. The biggest common factor number is the GCF number.
So the greatest common factor 6140 and 6142 is 2.

Also check out the Least Common Multiple of 6140 and 6142

Properties of GCF 6140 and 6142

(i) The GCF of 6140 and 6142 is associative

GCF of 6140 and 6142 = GCF of 6142 and 6140

Related Greatest Common Factor of 6140

Related Greatest Common Factor of 6142

Frequently Asked Questions on GCF of 6140 and 6142

1. What is the GCF of 6140 and 6142?

Answer: GCF of 6140 and 6142 is 2.

2. What are the Factors of 6140?

Answer: Factors of 6140 are 1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140. There are 12 integers that are factors of 6140. The greatest factor of 6140 is 6140.

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 6140 and 6142?

Answer:

Greatest Common Factor of 6140 and 6142 = 2

Step 1: Find the prime factorization of 6140

6140 = 2 x 2 x 5 x 307

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 6140 and 6142 is 2