Greatest Common Factor of 6142 and 6149

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, 6149 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6142 and 6149 is 1.

GCF(6142,6149) = 1

GCF of 6142 and 6149

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

GCF of:
and

Greatest Common Factor of 6142 and 6149

GCF of 6142 and 6149 is 1

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 6149


11 6149
13 559
43 43
1

Prime factors of 6149 are 11,13,43. Prime factorization of 6149 in exponential form is:

6149 = 111×131×431

∴ So by taking common prime factors GCF of 6142 and 6149 is 1

Greatest Common Factor of 6142 and 6149 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 6149

List of positive integer factors of 6149 that divides 6149 without a remainder.

1,11,13,43,143,473,559,6149

Greatest Common Factor

We found the factors and prime factorization of 6142 and 6149. The biggest common factor number is the GCF number.
So the greatest common factor 6142 and 6149 is 1.

Also check out the Least Common Multiple of 6142 and 6149

Properties of GCF 6142 and 6149

(i) The GCF of 6142 and 6149 is associative

GCF of 6142 and 6149 = GCF of 6149 and 6142

Related Greatest Common Factor of 6142

Related Greatest Common Factor of 6149

Frequently Asked Questions on GCF of 6142 and 6149

1. What is the GCF of 6142 and 6149?

Answer: GCF of 6142 and 6149 is 1.

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 6149?

Answer: Factors of 6149 are 1, 11, 13, 43, 143, 473, 559, 6149. There are 8 integers that are factors of 6149. The greatest factor of 6149 is 6149.

4. How to Find the GCF of 6142 and 6149?

Answer:

Greatest Common Factor of 6142 and 6149 = 1

Step 1: Find the prime factorization of 6142

6142 = 2 x 37 x 83

Step 2: Find the prime factorization of 6149

6149 = 11 x 13 x 43

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 6142 and 6149 is 1