Greatest Common Factor of 4024 and 4030

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, 4030 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4024 and 4030 is 2.

GCF(4024,4030) = 2

GCF of 4024 and 4030

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

GCF of:
and

Greatest Common Factor of 4024 and 4030

GCF of 4024 and 4030 is 2

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 4030


2 4030
5 2015
13 403
31 31
1

Prime factors of 4030 are 2,5,13,31. Prime factorization of 4030 in exponential form is:

4030 = 21×51×131×311

∴ So by taking common prime factors GCF of 4024 and 4030 is 2

Greatest Common Factor of 4024 and 4030 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 4030

List of positive integer factors of 4030 that divides 4030 without a remainder.

1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030

Greatest Common Factor

We found the factors and prime factorization of 4024 and 4030. The biggest common factor number is the GCF number.
So the greatest common factor 4024 and 4030 is 2.

Also check out the Least Common Multiple of 4024 and 4030

Properties of GCF 4024 and 4030

(i) The GCF of 4024 and 4030 is associative

GCF of 4024 and 4030 = GCF of 4030 and 4024

Related Greatest Common Factor of 4024

Related Greatest Common Factor of 4030

Frequently Asked Questions on GCF of 4024 and 4030

1. What is the GCF of 4024 and 4030?

Answer: GCF of 4024 and 4030 is 2.

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 4030?

Answer: Factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030. There are 16 integers that are factors of 4030. The greatest factor of 4030 is 4030.

4. How to Find the GCF of 4024 and 4030?

Answer:

Greatest Common Factor of 4024 and 4030 = 2

Step 1: Find the prime factorization of 4024

4024 = 2 x 2 x 2 x 503

Step 2: Find the prime factorization of 4030

4030 = 2 x 5 x 13 x 31

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 4024 and 4030 is 2