Greatest Common Factor of 2028 and 2030

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, 2030 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2028 and 2030 is 2.

GCF(2028,2030) = 2

GCF of 2028 and 2030

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

GCF of:
and

Greatest Common Factor of 2028 and 2030

GCF of 2028 and 2030 is 2

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 2030


2 2030
5 1015
7 203
29 29
1

Prime factors of 2030 are 2,5,7,29. Prime factorization of 2030 in exponential form is:

2030 = 21×51×71×291

∴ So by taking common prime factors GCF of 2028 and 2030 is 2

Greatest Common Factor of 2028 and 2030 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 2030

List of positive integer factors of 2030 that divides 2030 without a remainder.

1,2,5,7,10,14,29,35,58,70,145,203,290,406,1015,2030

Greatest Common Factor

We found the factors and prime factorization of 2028 and 2030. The biggest common factor number is the GCF number.
So the greatest common factor 2028 and 2030 is 2.

Also check out the Least Common Multiple of 2028 and 2030

Properties of GCF 2028 and 2030

(i) The GCF of 2028 and 2030 is associative

GCF of 2028 and 2030 = GCF of 2030 and 2028

Related Greatest Common Factor of 2028

Related Greatest Common Factor of 2030

Frequently Asked Questions on GCF of 2028 and 2030

1. What is the GCF of 2028 and 2030?

Answer: GCF of 2028 and 2030 is 2.

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 2030?

Answer: Factors of 2030 are 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030. There are 16 integers that are factors of 2030. The greatest factor of 2030 is 2030.

4. How to Find the GCF of 2028 and 2030?

Answer:

Greatest Common Factor of 2028 and 2030 = 2

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 2030

2030 = 2 x 5 x 7 x 29

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 2028 and 2030 is 2