Greatest Common Factor of 3028 and 3030

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 3028, 3030 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3028 and 3030 is 2.

GCF(3028,3030) = 2

GCF of 3028 and 3030

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

GCF of:
and

Greatest Common Factor of 3028 and 3030

GCF of 3028 and 3030 is 2

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

Prime Factorization of 3030


2 3030
3 1515
5 505
101 101
1

Prime factors of 3030 are 2,3,5,101. Prime factorization of 3030 in exponential form is:

3030 = 21×31×51×1011

∴ So by taking common prime factors GCF of 3028 and 3030 is 2

Greatest Common Factor of 3028 and 3030 by matching factors method

Factors of 3028

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

1,2,4,757,1514,3028

Factors of 3030

List of positive integer factors of 3030 that divides 3030 without a remainder.

1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030

Greatest Common Factor

We found the factors and prime factorization of 3028 and 3030. The biggest common factor number is the GCF number.
So the greatest common factor 3028 and 3030 is 2.

Also check out the Least Common Multiple of 3028 and 3030

Properties of GCF 3028 and 3030

(i) The GCF of 3028 and 3030 is associative

GCF of 3028 and 3030 = GCF of 3030 and 3028

Related Greatest Common Factor of 3028

Related Greatest Common Factor of 3030

Frequently Asked Questions on GCF of 3028 and 3030

1. What is the GCF of 3028 and 3030?

Answer: GCF of 3028 and 3030 is 2.

2. 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.

3. What are the Factors of 3030?

Answer: Factors of 3030 are 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030. There are 16 integers that are factors of 3030. The greatest factor of 3030 is 3030.

4. How to Find the GCF of 3028 and 3030?

Answer:

Greatest Common Factor of 3028 and 3030 = 2

Step 1: Find the prime factorization of 3028

3028 = 2 x 2 x 757

Step 2: Find the prime factorization of 3030

3030 = 2 x 3 x 5 x 101

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 3028 and 3030 is 2