Greatest Common Factor of 7420 and 7428

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 7420, 7428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7420 and 7428 is 4.

GCF(7420,7428) = 4

GCF of 7420 and 7428

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

GCF of:
and

Greatest Common Factor of 7420 and 7428

GCF of 7420 and 7428 is 4

Prime Factorization of 7420


2 7420
2 3710
5 1855
7 371
53 53
1

Prime factors of 7420 are 2,5,7,53. Prime factorization of 7420 in exponential form is:

7420 = 22×51×71×531

Prime Factorization of 7428


2 7428
2 3714
3 1857
619 619
1

Prime factors of 7428 are 2,3,619. Prime factorization of 7428 in exponential form is:

7428 = 22×31×6191

∴ So by taking common prime factors GCF of 7420 and 7428 is 4

Greatest Common Factor of 7420 and 7428 by matching factors method

Factors of 7420

List of positive integer factors of 7420 that divides 7420 without a remainder.

1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420

Factors of 7428

List of positive integer factors of 7428 that divides 7428 without a remainder.

1,2,3,4,6,12,619,1238,1857,2476,3714,7428

Greatest Common Factor

We found the factors and prime factorization of 7420 and 7428. The biggest common factor number is the GCF number.
So the greatest common factor 7420 and 7428 is 4.

Also check out the Least Common Multiple of 7420 and 7428

Properties of GCF 7420 and 7428

(i) The GCF of 7420 and 7428 is associative

GCF of 7420 and 7428 = GCF of 7428 and 7420

Related Greatest Common Factor of 7420

Related Greatest Common Factor of 7428

Frequently Asked Questions on GCF of 7420 and 7428

1. What is the GCF of 7420 and 7428?

Answer: GCF of 7420 and 7428 is 4.

2. What are the Factors of 7420?

Answer: Factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420. There are 24 integers that are factors of 7420. The greatest factor of 7420 is 7420.

3. What are the Factors of 7428?

Answer: Factors of 7428 are 1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714, 7428. There are 12 integers that are factors of 7428. The greatest factor of 7428 is 7428.

4. How to Find the GCF of 7420 and 7428?

Answer:

Greatest Common Factor of 7420 and 7428 = 4

Step 1: Find the prime factorization of 7420

7420 = 2 x 2 x 5 x 7 x 53

Step 2: Find the prime factorization of 7428

7428 = 2 x 2 x 3 x 619

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 7420 and 7428 is 4