Greatest Common Factor of 4024 and 4028

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 4024, 4028 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4024 and 4028 is 4.

GCF(4024,4028) = 4

GCF of 4024 and 4028

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

GCF of:
and

Greatest Common Factor of 4024 and 4028

GCF of 4024 and 4028 is 4

Prime Factorization of 4024


2 4024
2 2012
2 1006
503 503
1

Prime factors of 4024 are 2,503. Prime factorization of 4024 in exponential form is:

4024 = 23×5031

Prime Factorization of 4028


2 4028
2 2014
19 1007
53 53
1

Prime factors of 4028 are 2,19,53. Prime factorization of 4028 in exponential form is:

4028 = 22×191×531

∴ So by taking common prime factors GCF of 4024 and 4028 is 4

Greatest Common Factor of 4024 and 4028 by matching factors method

Factors of 4024

List of positive integer factors of 4024 that divides 4024 without a remainder.

1,2,4,8,503,1006,2012,4024

Factors of 4028

List of positive integer factors of 4028 that divides 4028 without a remainder.

1,2,4,19,38,53,76,106,212,1007,2014,4028

Greatest Common Factor

We found the factors and prime factorization of 4024 and 4028. The biggest common factor number is the GCF number.
So the greatest common factor 4024 and 4028 is 4.

Also check out the Least Common Multiple of 4024 and 4028

Properties of GCF 4024 and 4028

(i) The GCF of 4024 and 4028 is associative

GCF of 4024 and 4028 = GCF of 4028 and 4024

Related Greatest Common Factor of 4024

Related Greatest Common Factor of 4028

Frequently Asked Questions on GCF of 4024 and 4028

1. What is the GCF of 4024 and 4028?

Answer: GCF of 4024 and 4028 is 4.

2. What are the Factors of 4024?

Answer: Factors of 4024 are 1, 2, 4, 8, 503, 1006, 2012, 4024. There are 8 integers that are factors of 4024. The greatest factor of 4024 is 4024.

3. What are the Factors of 4028?

Answer: Factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028. There are 12 integers that are factors of 4028. The greatest factor of 4028 is 4028.

4. How to Find the GCF of 4024 and 4028?

Answer:

Greatest Common Factor of 4024 and 4028 = 4

Step 1: Find the prime factorization of 4024

4024 = 2 x 2 x 2 x 503

Step 2: Find the prime factorization of 4028

4028 = 2 x 2 x 19 x 53

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 4024 and 4028 is 4