Greatest Common Factor of 2034 and 2040

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, 2040 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2034 and 2040 is 6.

GCF(2034,2040) = 6

GCF of 2034 and 2040

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

GCF of:
and

Greatest Common Factor of 2034 and 2040

GCF of 2034 and 2040 is 6

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 2040


2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 2040 are 2,3,5,17. Prime factorization of 2040 in exponential form is:

2040 = 23×31×51×171

∴ So by taking common prime factors GCF of 2034 and 2040 is 6

Greatest Common Factor of 2034 and 2040 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 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040

Greatest Common Factor

We found the factors and prime factorization of 2034 and 2040. The biggest common factor number is the GCF number.
So the greatest common factor 2034 and 2040 is 6.

Also check out the Least Common Multiple of 2034 and 2040

Properties of GCF 2034 and 2040

(i) The GCF of 2034 and 2040 is associative

GCF of 2034 and 2040 = GCF of 2040 and 2034

Related Greatest Common Factor of 2034

Related Greatest Common Factor of 2040

Frequently Asked Questions on GCF of 2034 and 2040

1. What is the GCF of 2034 and 2040?

Answer: GCF of 2034 and 2040 is 6.

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 2040?

Answer: Factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040. There are 32 integers that are factors of 2040. The greatest factor of 2040 is 2040.

4. How to Find the GCF of 2034 and 2040?

Answer:

Greatest Common Factor of 2034 and 2040 = 6

Step 1: Find the prime factorization of 2034

2034 = 2 x 3 x 3 x 113

Step 2: Find the prime factorization of 2040

2040 = 2 x 2 x 2 x 3 x 5 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2034 and 2040 is 6