Greatest Common Factor of 7431 and 7437

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 7431, 7437 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7431 and 7437 is 3.

GCF(7431,7437) = 3

GCF of 7431 and 7437

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

GCF of:
and

Greatest Common Factor of 7431 and 7437

GCF of 7431 and 7437 is 3

Prime Factorization of 7431


3 7431
2477 2477
1

Prime factors of 7431 are 3,2477. Prime factorization of 7431 in exponential form is:

7431 = 31×24771

Prime Factorization of 7437


3 7437
37 2479
67 67
1

Prime factors of 7437 are 3,37,67. Prime factorization of 7437 in exponential form is:

7437 = 31×371×671

∴ So by taking common prime factors GCF of 7431 and 7437 is 3

Greatest Common Factor of 7431 and 7437 by matching factors method

Factors of 7431

List of positive integer factors of 7431 that divides 7431 without a remainder.

1,3,2477,7431

Factors of 7437

List of positive integer factors of 7437 that divides 7437 without a remainder.

1,3,37,67,111,201,2479,7437

Greatest Common Factor

We found the factors and prime factorization of 7431 and 7437. The biggest common factor number is the GCF number.
So the greatest common factor 7431 and 7437 is 3.

Also check out the Least Common Multiple of 7431 and 7437

Properties of GCF 7431 and 7437

(i) The GCF of 7431 and 7437 is associative

GCF of 7431 and 7437 = GCF of 7437 and 7431

Related Greatest Common Factor of 7431

Related Greatest Common Factor of 7437

Frequently Asked Questions on GCF of 7431 and 7437

1. What is the GCF of 7431 and 7437?

Answer: GCF of 7431 and 7437 is 3.

2. What are the Factors of 7431?

Answer: Factors of 7431 are 1, 3, 2477, 7431. There are 4 integers that are factors of 7431. The greatest factor of 7431 is 7431.

3. What are the Factors of 7437?

Answer: Factors of 7437 are 1, 3, 37, 67, 111, 201, 2479, 7437. There are 8 integers that are factors of 7437. The greatest factor of 7437 is 7437.

4. How to Find the GCF of 7431 and 7437?

Answer:

Greatest Common Factor of 7431 and 7437 = 3

Step 1: Find the prime factorization of 7431

7431 = 3 x 2477

Step 2: Find the prime factorization of 7437

7437 = 3 x 37 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 7431 and 7437 is 3