Greatest Common Factor of 7430 and 7438

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 7430, 7438 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7430 and 7438 is 2.

GCF(7430,7438) = 2

GCF of 7430 and 7438

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

GCF of:
and

Greatest Common Factor of 7430 and 7438

GCF of 7430 and 7438 is 2

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

Prime Factorization of 7438


2 7438
3719 3719
1

Prime factors of 7438 are 2,3719. Prime factorization of 7438 in exponential form is:

7438 = 21×37191

∴ So by taking common prime factors GCF of 7430 and 7438 is 2

Greatest Common Factor of 7430 and 7438 by matching factors method

Factors of 7430

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

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

Factors of 7438

List of positive integer factors of 7438 that divides 7438 without a remainder.

1,2,3719,7438

Greatest Common Factor

We found the factors and prime factorization of 7430 and 7438. The biggest common factor number is the GCF number.
So the greatest common factor 7430 and 7438 is 2.

Also check out the Least Common Multiple of 7430 and 7438

Properties of GCF 7430 and 7438

(i) The GCF of 7430 and 7438 is associative

GCF of 7430 and 7438 = GCF of 7438 and 7430

Related Greatest Common Factor of 7430

Related Greatest Common Factor of 7438

Frequently Asked Questions on GCF of 7430 and 7438

1. What is the GCF of 7430 and 7438?

Answer: GCF of 7430 and 7438 is 2.

2. 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.

3. What are the Factors of 7438?

Answer: Factors of 7438 are 1, 2, 3719, 7438. There are 4 integers that are factors of 7438. The greatest factor of 7438 is 7438.

4. How to Find the GCF of 7430 and 7438?

Answer:

Greatest Common Factor of 7430 and 7438 = 2

Step 1: Find the prime factorization of 7430

7430 = 2 x 5 x 743

Step 2: Find the prime factorization of 7438

7438 = 2 x 3719

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 7430 and 7438 is 2