Greatest Common Factor of 7020 and 7028

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 7020, 7028 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7020 and 7028 is 4.

GCF(7020,7028) = 4

GCF of 7020 and 7028

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

GCF of:
and

Greatest Common Factor of 7020 and 7028

GCF of 7020 and 7028 is 4

Prime Factorization of 7020


2 7020
2 3510
3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 7020 are 2,3,5,13. Prime factorization of 7020 in exponential form is:

7020 = 22×33×51×131

Prime Factorization of 7028


2 7028
2 3514
7 1757
251 251
1

Prime factors of 7028 are 2,7,251. Prime factorization of 7028 in exponential form is:

7028 = 22×71×2511

∴ So by taking common prime factors GCF of 7020 and 7028 is 4

Greatest Common Factor of 7020 and 7028 by matching factors method

Factors of 7020

List of positive integer factors of 7020 that divides 7020 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020

Factors of 7028

List of positive integer factors of 7028 that divides 7028 without a remainder.

1,2,4,7,14,28,251,502,1004,1757,3514,7028

Greatest Common Factor

We found the factors and prime factorization of 7020 and 7028. The biggest common factor number is the GCF number.
So the greatest common factor 7020 and 7028 is 4.

Also check out the Least Common Multiple of 7020 and 7028

Properties of GCF 7020 and 7028

(i) The GCF of 7020 and 7028 is associative

GCF of 7020 and 7028 = GCF of 7028 and 7020

Related Greatest Common Factor of 7020

Related Greatest Common Factor of 7028

Frequently Asked Questions on GCF of 7020 and 7028

1. What is the GCF of 7020 and 7028?

Answer: GCF of 7020 and 7028 is 4.

2. What are the Factors of 7020?

Answer: Factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020. There are 48 integers that are factors of 7020. The greatest factor of 7020 is 7020.

3. What are the Factors of 7028?

Answer: Factors of 7028 are 1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028. There are 12 integers that are factors of 7028. The greatest factor of 7028 is 7028.

4. How to Find the GCF of 7020 and 7028?

Answer:

Greatest Common Factor of 7020 and 7028 = 4

Step 1: Find the prime factorization of 7020

7020 = 2 x 2 x 3 x 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 7028

7028 = 2 x 2 x 7 x 251

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 7020 and 7028 is 4