Greatest Common Factor of 3028 and 3032

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, 3032 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3028 and 3032 is 4.

GCF(3028,3032) = 4

GCF of 3028 and 3032

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

GCF of:
and

Greatest Common Factor of 3028 and 3032

GCF of 3028 and 3032 is 4

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 3032


2 3032
2 1516
2 758
379 379
1

Prime factors of 3032 are 2,379. Prime factorization of 3032 in exponential form is:

3032 = 23×3791

∴ So by taking common prime factors GCF of 3028 and 3032 is 4

Greatest Common Factor of 3028 and 3032 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 3032

List of positive integer factors of 3032 that divides 3032 without a remainder.

1,2,4,8,379,758,1516,3032

Greatest Common Factor

We found the factors and prime factorization of 3028 and 3032. The biggest common factor number is the GCF number.
So the greatest common factor 3028 and 3032 is 4.

Also check out the Least Common Multiple of 3028 and 3032

Properties of GCF 3028 and 3032

(i) The GCF of 3028 and 3032 is associative

GCF of 3028 and 3032 = GCF of 3032 and 3028

Related Greatest Common Factor of 3028

Related Greatest Common Factor of 3032

Frequently Asked Questions on GCF of 3028 and 3032

1. What is the GCF of 3028 and 3032?

Answer: GCF of 3028 and 3032 is 4.

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 3032?

Answer: Factors of 3032 are 1, 2, 4, 8, 379, 758, 1516, 3032. There are 8 integers that are factors of 3032. The greatest factor of 3032 is 3032.

4. How to Find the GCF of 3028 and 3032?

Answer:

Greatest Common Factor of 3028 and 3032 = 4

Step 1: Find the prime factorization of 3028

3028 = 2 x 2 x 757

Step 2: Find the prime factorization of 3032

3032 = 2 x 2 x 2 x 379

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 3028 and 3032 is 4