Greatest Common Factor of 4020 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 4020, 4028 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4020 and 4028 is 4.

GCF(4020,4028) = 4

GCF of 4020 and 4028

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

GCF of:
and

Greatest Common Factor of 4020 and 4028

GCF of 4020 and 4028 is 4

Prime Factorization of 4020


2 4020
2 2010
3 1005
5 335
67 67
1

Prime factors of 4020 are 2,3,5,67. Prime factorization of 4020 in exponential form is:

4020 = 22×31×51×671

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 4020 and 4028 is 4

Greatest Common Factor of 4020 and 4028 by matching factors method

Factors of 4020

List of positive integer factors of 4020 that divides 4020 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,67,134,201,268,335,402,670,804,1005,1340,2010,4020

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 4020 and 4028. The biggest common factor number is the GCF number.
So the greatest common factor 4020 and 4028 is 4.

Also check out the Least Common Multiple of 4020 and 4028

Properties of GCF 4020 and 4028

(i) The GCF of 4020 and 4028 is associative

GCF of 4020 and 4028 = GCF of 4028 and 4020

Related Greatest Common Factor of 4020

Related Greatest Common Factor of 4028

Frequently Asked Questions on GCF of 4020 and 4028

1. What is the GCF of 4020 and 4028?

Answer: GCF of 4020 and 4028 is 4.

2. What are the Factors of 4020?

Answer: Factors of 4020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020. There are 24 integers that are factors of 4020. The greatest factor of 4020 is 4020.

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 4020 and 4028?

Answer:

Greatest Common Factor of 4020 and 4028 = 4

Step 1: Find the prime factorization of 4020

4020 = 2 x 2 x 3 x 5 x 67

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 4020 and 4028 is 4