Greatest Common Factor of 2024 and 2028

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 2024, 2028 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2024 and 2028 is 4.

GCF(2024,2028) = 4

GCF of 2024 and 2028

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

GCF of:
and

Greatest Common Factor of 2024 and 2028

GCF of 2024 and 2028 is 4

Prime Factorization of 2024


2 2024
2 1012
2 506
11 253
23 23
1

Prime factors of 2024 are 2,11,23. Prime factorization of 2024 in exponential form is:

2024 = 23×111×231

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

∴ So by taking common prime factors GCF of 2024 and 2028 is 4

Greatest Common Factor of 2024 and 2028 by matching factors method

Factors of 2024

List of positive integer factors of 2024 that divides 2024 without a remainder.

1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024

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

Greatest Common Factor

We found the factors and prime factorization of 2024 and 2028. The biggest common factor number is the GCF number.
So the greatest common factor 2024 and 2028 is 4.

Also check out the Least Common Multiple of 2024 and 2028

Properties of GCF 2024 and 2028

(i) The GCF of 2024 and 2028 is associative

GCF of 2024 and 2028 = GCF of 2028 and 2024

Related Greatest Common Factor of 2024

Related Greatest Common Factor of 2028

Frequently Asked Questions on GCF of 2024 and 2028

1. What is the GCF of 2024 and 2028?

Answer: GCF of 2024 and 2028 is 4.

2. What are the Factors of 2024?

Answer: Factors of 2024 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024. There are 16 integers that are factors of 2024. The greatest factor of 2024 is 2024.

3. 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.

4. How to Find the GCF of 2024 and 2028?

Answer:

Greatest Common Factor of 2024 and 2028 = 4

Step 1: Find the prime factorization of 2024

2024 = 2 x 2 x 2 x 11 x 23

Step 2: Find the prime factorization of 2028

2028 = 2 x 2 x 3 x 13 x 13

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2024 and 2028 is 4