Greatest Common Factor of 6136 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 6136, 6142 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6136 and 6142 is 2.

GCF(6136,6142) = 2

GCF of 6136 and 6142

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

GCF of:
and

Greatest Common Factor of 6136 and 6142

GCF of 6136 and 6142 is 2

Prime Factorization of 6136


2 6136
2 3068
2 1534
13 767
59 59
1

Prime factors of 6136 are 2,13,59. Prime factorization of 6136 in exponential form is:

6136 = 23×131×591

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 6136 and 6142 is 2

Greatest Common Factor of 6136 and 6142 by matching factors method

Factors of 6136

List of positive integer factors of 6136 that divides 6136 without a remainder.

1,2,4,8,13,26,52,59,104,118,236,472,767,1534,3068,6136

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 6136 and 6142. The biggest common factor number is the GCF number.
So the greatest common factor 6136 and 6142 is 2.

Also check out the Least Common Multiple of 6136 and 6142

Properties of GCF 6136 and 6142

(i) The GCF of 6136 and 6142 is associative

GCF of 6136 and 6142 = GCF of 6142 and 6136

Related Greatest Common Factor of 6136

Related Greatest Common Factor of 6142

Frequently Asked Questions on GCF of 6136 and 6142

1. What is the GCF of 6136 and 6142?

Answer: GCF of 6136 and 6142 is 2.

2. What are the Factors of 6136?

Answer: Factors of 6136 are 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136. There are 16 integers that are factors of 6136. The greatest factor of 6136 is 6136.

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 6136 and 6142?

Answer:

Greatest Common Factor of 6136 and 6142 = 2

Step 1: Find the prime factorization of 6136

6136 = 2 x 2 x 2 x 13 x 59

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 6136 and 6142 is 2