Greatest Common Factor of 7428 and 7430

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 7428, 7430 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7428 and 7430 is 2.

GCF(7428,7430) = 2

GCF of 7428 and 7430

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

GCF of:
and

Greatest Common Factor of 7428 and 7430

GCF of 7428 and 7430 is 2

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

Prime Factorization of 7430


2 7430
5 3715
743 743
1

Prime factors of 7430 are 2,5,743. Prime factorization of 7430 in exponential form is:

7430 = 21×51×7431

∴ So by taking common prime factors GCF of 7428 and 7430 is 2

Greatest Common Factor of 7428 and 7430 by matching factors method

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

Factors of 7430

List of positive integer factors of 7430 that divides 7430 without a remainder.

1,2,5,10,743,1486,3715,7430

Greatest Common Factor

We found the factors and prime factorization of 7428 and 7430. The biggest common factor number is the GCF number.
So the greatest common factor 7428 and 7430 is 2.

Also check out the Least Common Multiple of 7428 and 7430

Properties of GCF 7428 and 7430

(i) The GCF of 7428 and 7430 is associative

GCF of 7428 and 7430 = GCF of 7430 and 7428

Related Greatest Common Factor of 7428

Related Greatest Common Factor of 7430

Frequently Asked Questions on GCF of 7428 and 7430

1. What is the GCF of 7428 and 7430?

Answer: GCF of 7428 and 7430 is 2.

2. 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.

3. What are the Factors of 7430?

Answer: Factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430. There are 8 integers that are factors of 7430. The greatest factor of 7430 is 7430.

4. How to Find the GCF of 7428 and 7430?

Answer:

Greatest Common Factor of 7428 and 7430 = 2

Step 1: Find the prime factorization of 7428

7428 = 2 x 2 x 3 x 619

Step 2: Find the prime factorization of 7430

7430 = 2 x 5 x 743

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 7428 and 7430 is 2