Greatest Common Factor of 2034 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 2034, 2042 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2034 and 2042 is 2.

GCF(2034,2042) = 2

GCF of 2034 and 2042

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

GCF of:
and

Greatest Common Factor of 2034 and 2042

GCF of 2034 and 2042 is 2

Prime Factorization of 2034


2 2034
3 1017
3 339
113 113
1

Prime factors of 2034 are 2,3,113. Prime factorization of 2034 in exponential form is:

2034 = 21×32×1131

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 2034 and 2042 is 2

Greatest Common Factor of 2034 and 2042 by matching factors method

Factors of 2034

List of positive integer factors of 2034 that divides 2034 without a remainder.

1,2,3,6,9,18,113,226,339,678,1017,2034

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 2034 and 2042. The biggest common factor number is the GCF number.
So the greatest common factor 2034 and 2042 is 2.

Also check out the Least Common Multiple of 2034 and 2042

Properties of GCF 2034 and 2042

(i) The GCF of 2034 and 2042 is associative

GCF of 2034 and 2042 = GCF of 2042 and 2034

Related Greatest Common Factor of 2034

Related Greatest Common Factor of 2042

Frequently Asked Questions on GCF of 2034 and 2042

1. What is the GCF of 2034 and 2042?

Answer: GCF of 2034 and 2042 is 2.

2. What are the Factors of 2034?

Answer: Factors of 2034 are 1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034. There are 12 integers that are factors of 2034. The greatest factor of 2034 is 2034.

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 2034 and 2042?

Answer:

Greatest Common Factor of 2034 and 2042 = 2

Step 1: Find the prime factorization of 2034

2034 = 2 x 3 x 3 x 113

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 2034 and 2042 is 2