Greatest Common Factor of 2028 and 2034

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 2028, 2034 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2028 and 2034 is 6.

GCF(2028,2034) = 6

GCF of 2028 and 2034

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

GCF of:
and

Greatest Common Factor of 2028 and 2034

GCF of 2028 and 2034 is 6

Prime Factorization of 2028


2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 2028 are 2,3,13. Prime factorization of 2028 in exponential form is:

2028 = 22×31×132

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

∴ So by taking common prime factors GCF of 2028 and 2034 is 6

Greatest Common Factor of 2028 and 2034 by matching factors method

Factors of 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156,169,338,507,676,1014,2028

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

Greatest Common Factor

We found the factors and prime factorization of 2028 and 2034. The biggest common factor number is the GCF number.
So the greatest common factor 2028 and 2034 is 6.

Also check out the Least Common Multiple of 2028 and 2034

Properties of GCF 2028 and 2034

(i) The GCF of 2028 and 2034 is associative

GCF of 2028 and 2034 = GCF of 2034 and 2028

Related Greatest Common Factor of 2028

Related Greatest Common Factor of 2034

Frequently Asked Questions on GCF of 2028 and 2034

1. What is the GCF of 2028 and 2034?

Answer: GCF of 2028 and 2034 is 6.

2. What are the Factors of 2028?

Answer: Factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028. There are 18 integers that are factors of 2028. The greatest factor of 2028 is 2028.

3. 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.

4. How to Find the GCF of 2028 and 2034?

Answer:

Greatest Common Factor of 2028 and 2034 = 6

Step 1: Find the prime factorization of 2028

2028 = 2 x 2 x 3 x 13 x 13

Step 2: Find the prime factorization of 2034

2034 = 2 x 3 x 3 x 113

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 2028 and 2034 is 6