Greatest Common Factor of 4042 and 4046

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 4042, 4046 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4042 and 4046 is 2.

GCF(4042,4046) = 2

GCF of 4042 and 4046

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

GCF of:
and

Greatest Common Factor of 4042 and 4046

GCF of 4042 and 4046 is 2

Prime Factorization of 4042


2 4042
43 2021
47 47
1

Prime factors of 4042 are 2,43,47. Prime factorization of 4042 in exponential form is:

4042 = 21×431×471

Prime Factorization of 4046


2 4046
7 2023
17 289
17 17
1

Prime factors of 4046 are 2,7,17. Prime factorization of 4046 in exponential form is:

4046 = 21×71×172

∴ So by taking common prime factors GCF of 4042 and 4046 is 2

Greatest Common Factor of 4042 and 4046 by matching factors method

Factors of 4042

List of positive integer factors of 4042 that divides 4042 without a remainder.

1,2,43,47,86,94,2021,4042

Factors of 4046

List of positive integer factors of 4046 that divides 4046 without a remainder.

1,2,7,14,17,34,119,238,289,578,2023,4046

Greatest Common Factor

We found the factors and prime factorization of 4042 and 4046. The biggest common factor number is the GCF number.
So the greatest common factor 4042 and 4046 is 2.

Also check out the Least Common Multiple of 4042 and 4046

Properties of GCF 4042 and 4046

(i) The GCF of 4042 and 4046 is associative

GCF of 4042 and 4046 = GCF of 4046 and 4042

Related Greatest Common Factor of 4042

Related Greatest Common Factor of 4046

Frequently Asked Questions on GCF of 4042 and 4046

1. What is the GCF of 4042 and 4046?

Answer: GCF of 4042 and 4046 is 2.

2. What are the Factors of 4042?

Answer: Factors of 4042 are 1, 2, 43, 47, 86, 94, 2021, 4042. There are 8 integers that are factors of 4042. The greatest factor of 4042 is 4042.

3. What are the Factors of 4046?

Answer: Factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046. There are 12 integers that are factors of 4046. The greatest factor of 4046 is 4046.

4. How to Find the GCF of 4042 and 4046?

Answer:

Greatest Common Factor of 4042 and 4046 = 2

Step 1: Find the prime factorization of 4042

4042 = 2 x 43 x 47

Step 2: Find the prime factorization of 4046

4046 = 2 x 7 x 17 x 17

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 4042 and 4046 is 2