Greatest Common Factor of 6034 and 6042

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 6034, 6042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6034 and 6042 is 2.

GCF(6034,6042) = 2

GCF of 6034 and 6042

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

GCF of:
and

Greatest Common Factor of 6034 and 6042

GCF of 6034 and 6042 is 2

Prime Factorization of 6034


2 6034
7 3017
431 431
1

Prime factors of 6034 are 2,7,431. Prime factorization of 6034 in exponential form is:

6034 = 21×71×4311

Prime Factorization of 6042


2 6042
3 3021
19 1007
53 53
1

Prime factors of 6042 are 2,3,19,53. Prime factorization of 6042 in exponential form is:

6042 = 21×31×191×531

∴ So by taking common prime factors GCF of 6034 and 6042 is 2

Greatest Common Factor of 6034 and 6042 by matching factors method

Factors of 6034

List of positive integer factors of 6034 that divides 6034 without a remainder.

1,2,7,14,431,862,3017,6034

Factors of 6042

List of positive integer factors of 6042 that divides 6042 without a remainder.

1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042

Greatest Common Factor

We found the factors and prime factorization of 6034 and 6042. The biggest common factor number is the GCF number.
So the greatest common factor 6034 and 6042 is 2.

Also check out the Least Common Multiple of 6034 and 6042

Properties of GCF 6034 and 6042

(i) The GCF of 6034 and 6042 is associative

GCF of 6034 and 6042 = GCF of 6042 and 6034

Related Greatest Common Factor of 6034

Related Greatest Common Factor of 6042

Frequently Asked Questions on GCF of 6034 and 6042

1. What is the GCF of 6034 and 6042?

Answer: GCF of 6034 and 6042 is 2.

2. What are the Factors of 6034?

Answer: Factors of 6034 are 1, 2, 7, 14, 431, 862, 3017, 6034. There are 8 integers that are factors of 6034. The greatest factor of 6034 is 6034.

3. What are the Factors of 6042?

Answer: Factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042. There are 16 integers that are factors of 6042. The greatest factor of 6042 is 6042.

4. How to Find the GCF of 6034 and 6042?

Answer:

Greatest Common Factor of 6034 and 6042 = 2

Step 1: Find the prime factorization of 6034

6034 = 2 x 7 x 431

Step 2: Find the prime factorization of 6042

6042 = 2 x 3 x 19 x 53

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 6034 and 6042 is 2