Greatest Common Factor of 2038 and 2042

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 2038, 2042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2038 and 2042 is 2.

GCF(2038,2042) = 2

GCF of 2038 and 2042

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

GCF of:
and

Greatest Common Factor of 2038 and 2042

GCF of 2038 and 2042 is 2

Prime Factorization of 2038


2 2038
1019 1019
1

Prime factors of 2038 are 2,1019. Prime factorization of 2038 in exponential form is:

2038 = 21×10191

Prime Factorization of 2042


2 2042
1021 1021
1

Prime factors of 2042 are 2,1021. Prime factorization of 2042 in exponential form is:

2042 = 21×10211

∴ So by taking common prime factors GCF of 2038 and 2042 is 2

Greatest Common Factor of 2038 and 2042 by matching factors method

Factors of 2038

List of positive integer factors of 2038 that divides 2038 without a remainder.

1,2,1019,2038

Factors of 2042

List of positive integer factors of 2042 that divides 2042 without a remainder.

1,2,1021,2042

Greatest Common Factor

We found the factors and prime factorization of 2038 and 2042. The biggest common factor number is the GCF number.
So the greatest common factor 2038 and 2042 is 2.

Also check out the Least Common Multiple of 2038 and 2042

Properties of GCF 2038 and 2042

(i) The GCF of 2038 and 2042 is associative

GCF of 2038 and 2042 = GCF of 2042 and 2038

Related Greatest Common Factor of 2038

Related Greatest Common Factor of 2042

Frequently Asked Questions on GCF of 2038 and 2042

1. What is the GCF of 2038 and 2042?

Answer: GCF of 2038 and 2042 is 2.

2. What are the Factors of 2038?

Answer: Factors of 2038 are 1, 2, 1019, 2038. There are 4 integers that are factors of 2038. The greatest factor of 2038 is 2038.

3. What are the Factors of 2042?

Answer: Factors of 2042 are 1, 2, 1021, 2042. There are 4 integers that are factors of 2042. The greatest factor of 2042 is 2042.

4. How to Find the GCF of 2038 and 2042?

Answer:

Greatest Common Factor of 2038 and 2042 = 2

Step 1: Find the prime factorization of 2038

2038 = 2 x 1019

Step 2: Find the prime factorization of 2042

2042 = 2 x 1021

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 2038 and 2042 is 2