Greatest Common Factor of 4034 and 4042

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 4034, 4042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4034 and 4042 is 2.

GCF(4034,4042) = 2

GCF of 4034 and 4042

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

GCF of:
and

Greatest Common Factor of 4034 and 4042

GCF of 4034 and 4042 is 2

Prime Factorization of 4034


2 4034
2017 2017
1

Prime factors of 4034 are 2,2017. Prime factorization of 4034 in exponential form is:

4034 = 21×20171

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

∴ So by taking common prime factors GCF of 4034 and 4042 is 2

Greatest Common Factor of 4034 and 4042 by matching factors method

Factors of 4034

List of positive integer factors of 4034 that divides 4034 without a remainder.

1,2,2017,4034

Factors of 4042

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

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

Greatest Common Factor

We found the factors and prime factorization of 4034 and 4042. The biggest common factor number is the GCF number.
So the greatest common factor 4034 and 4042 is 2.

Also check out the Least Common Multiple of 4034 and 4042

Properties of GCF 4034 and 4042

(i) The GCF of 4034 and 4042 is associative

GCF of 4034 and 4042 = GCF of 4042 and 4034

Related Greatest Common Factor of 4034

Related Greatest Common Factor of 4042

Frequently Asked Questions on GCF of 4034 and 4042

1. What is the GCF of 4034 and 4042?

Answer: GCF of 4034 and 4042 is 2.

2. What are the Factors of 4034?

Answer: Factors of 4034 are 1, 2, 2017, 4034. There are 4 integers that are factors of 4034. The greatest factor of 4034 is 4034.

3. 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.

4. How to Find the GCF of 4034 and 4042?

Answer:

Greatest Common Factor of 4034 and 4042 = 2

Step 1: Find the prime factorization of 4034

4034 = 2 x 2017

Step 2: Find the prime factorization of 4042

4042 = 2 x 43 x 47

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 4034 and 4042 is 2