Greatest Common Factor of 6142 and 6143

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, 6143 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6142 and 6143 is 1.

GCF(6142,6143) = 1

GCF of 6142 and 6143

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

GCF of:
and

Greatest Common Factor of 6142 and 6143

GCF of 6142 and 6143 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 6143


6143 6143
1

Prime factors of 6143 are 6143. Prime factorization of 6143 in exponential form is:

6143 = 61431

∴ So by taking common prime factors GCF of 6142 and 6143 is 1

Greatest Common Factor of 6142 and 6143 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 6143

List of positive integer factors of 6143 that divides 6143 without a remainder.

1,6143

Greatest Common Factor

We found the factors and prime factorization of 6142 and 6143. The biggest common factor number is the GCF number.
So the greatest common factor 6142 and 6143 is 1.

Also check out the Least Common Multiple of 6142 and 6143

Properties of GCF 6142 and 6143

(i) The GCF of 6142 and 6143 is associative

GCF of 6142 and 6143 = GCF of 6143 and 6142

Frequently Asked Questions on GCF of 6142 and 6143

1. What is the GCF of 6142 and 6143?

Answer: GCF of 6142 and 6143 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 6143?

Answer: Factors of 6143 are 1, 6143. There are 2 integers that are factors of 6143. The greatest factor of 6143 is 6143.

4. How to Find the GCF of 6142 and 6143?

Answer:

Greatest Common Factor of 6142 and 6143 = 1

Step 1: Find the prime factorization of 6142

6142 = 2 x 37 x 83

Step 2: Find the prime factorization of 6143

6143 = 6143

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 6143 is 1