Greatest Common Factor of 3024 and 3028

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 3024, 3028 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3024 and 3028 is 4.

GCF(3024,3028) = 4

GCF of 3024 and 3028

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

GCF of:
and

Greatest Common Factor of 3024 and 3028

GCF of 3024 and 3028 is 4

Prime Factorization of 3024


2 3024
2 1512
2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 3024 are 2,3,7. Prime factorization of 3024 in exponential form is:

3024 = 24×33×71

Prime Factorization of 3028


2 3028
2 1514
757 757
1

Prime factors of 3028 are 2,757. Prime factorization of 3028 in exponential form is:

3028 = 22×7571

∴ So by taking common prime factors GCF of 3024 and 3028 is 4

Greatest Common Factor of 3024 and 3028 by matching factors method

Factors of 3024

List of positive integer factors of 3024 that divides 3024 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024

Factors of 3028

List of positive integer factors of 3028 that divides 3028 without a remainder.

1,2,4,757,1514,3028

Greatest Common Factor

We found the factors and prime factorization of 3024 and 3028. The biggest common factor number is the GCF number.
So the greatest common factor 3024 and 3028 is 4.

Also check out the Least Common Multiple of 3024 and 3028

Properties of GCF 3024 and 3028

(i) The GCF of 3024 and 3028 is associative

GCF of 3024 and 3028 = GCF of 3028 and 3024

Related Greatest Common Factor of 3024

Related Greatest Common Factor of 3028

Frequently Asked Questions on GCF of 3024 and 3028

1. What is the GCF of 3024 and 3028?

Answer: GCF of 3024 and 3028 is 4.

2. What are the Factors of 3024?

Answer: Factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024. There are 40 integers that are factors of 3024. The greatest factor of 3024 is 3024.

3. What are the Factors of 3028?

Answer: Factors of 3028 are 1, 2, 4, 757, 1514, 3028. There are 6 integers that are factors of 3028. The greatest factor of 3028 is 3028.

4. How to Find the GCF of 3024 and 3028?

Answer:

Greatest Common Factor of 3024 and 3028 = 4

Step 1: Find the prime factorization of 3024

3024 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 3028

3028 = 2 x 2 x 757

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 3024 and 3028 is 4