Greatest Common Factor of 6042 and 6046

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, 6046 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6042 and 6046 is 2.

GCF(6042,6046) = 2

GCF of 6042 and 6046

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

GCF of:
and

Greatest Common Factor of 6042 and 6046

GCF of 6042 and 6046 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 6046


2 6046
3023 3023
1

Prime factors of 6046 are 2,3023. Prime factorization of 6046 in exponential form is:

6046 = 21×30231

∴ So by taking common prime factors GCF of 6042 and 6046 is 2

Greatest Common Factor of 6042 and 6046 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 6046

List of positive integer factors of 6046 that divides 6046 without a remainder.

1,2,3023,6046

Greatest Common Factor

We found the factors and prime factorization of 6042 and 6046. The biggest common factor number is the GCF number.
So the greatest common factor 6042 and 6046 is 2.

Also check out the Least Common Multiple of 6042 and 6046

Properties of GCF 6042 and 6046

(i) The GCF of 6042 and 6046 is associative

GCF of 6042 and 6046 = GCF of 6046 and 6042

Related Greatest Common Factor of 6042

Related Greatest Common Factor of 6046

Frequently Asked Questions on GCF of 6042 and 6046

1. What is the GCF of 6042 and 6046?

Answer: GCF of 6042 and 6046 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 6046?

Answer: Factors of 6046 are 1, 2, 3023, 6046. There are 4 integers that are factors of 6046. The greatest factor of 6046 is 6046.

4. How to Find the GCF of 6042 and 6046?

Answer:

Greatest Common Factor of 6042 and 6046 = 2

Step 1: Find the prime factorization of 6042

6042 = 2 x 3 x 19 x 53

Step 2: Find the prime factorization of 6046

6046 = 2 x 3023

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 6046 is 2