Greatest Common Factor of 6042 and 6044

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 6042, 6044 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6042 and 6044 is 2.

GCF(6042,6044) = 2

GCF of 6042 and 6044

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

GCF of:
and

Greatest Common Factor of 6042 and 6044

GCF of 6042 and 6044 is 2

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

Prime Factorization of 6044


2 6044
2 3022
1511 1511
1

Prime factors of 6044 are 2,1511. Prime factorization of 6044 in exponential form is:

6044 = 22×15111

∴ So by taking common prime factors GCF of 6042 and 6044 is 2

Greatest Common Factor of 6042 and 6044 by matching factors method

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

Factors of 6044

List of positive integer factors of 6044 that divides 6044 without a remainder.

1,2,4,1511,3022,6044

Greatest Common Factor

We found the factors and prime factorization of 6042 and 6044. The biggest common factor number is the GCF number.
So the greatest common factor 6042 and 6044 is 2.

Also check out the Least Common Multiple of 6042 and 6044

Properties of GCF 6042 and 6044

(i) The GCF of 6042 and 6044 is associative

GCF of 6042 and 6044 = GCF of 6044 and 6042

Related Greatest Common Factor of 6042

Related Greatest Common Factor of 6044

Frequently Asked Questions on GCF of 6042 and 6044

1. What is the GCF of 6042 and 6044?

Answer: GCF of 6042 and 6044 is 2.

2. 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.

3. What are the Factors of 6044?

Answer: Factors of 6044 are 1, 2, 4, 1511, 3022, 6044. There are 6 integers that are factors of 6044. The greatest factor of 6044 is 6044.

4. How to Find the GCF of 6042 and 6044?

Answer:

Greatest Common Factor of 6042 and 6044 = 2

Step 1: Find the prime factorization of 6042

6042 = 2 x 3 x 19 x 53

Step 2: Find the prime factorization of 6044

6044 = 2 x 2 x 1511

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 6042 and 6044 is 2