Greatest Common Factor of 7431 and 7434

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, 7434 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7431 and 7434 is 3.

GCF(7431,7434) = 3

GCF of 7431 and 7434

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

GCF of:
and

Greatest Common Factor of 7431 and 7434

GCF of 7431 and 7434 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 7434


2 7434
3 3717
3 1239
7 413
59 59
1

Prime factors of 7434 are 2,3,7,59. Prime factorization of 7434 in exponential form is:

7434 = 21×32×71×591

∴ So by taking common prime factors GCF of 7431 and 7434 is 3

Greatest Common Factor of 7431 and 7434 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 7434

List of positive integer factors of 7434 that divides 7434 without a remainder.

1,2,3,6,7,9,14,18,21,42,59,63,118,126,177,354,413,531,826,1062,1239,2478,3717,7434

Greatest Common Factor

We found the factors and prime factorization of 7431 and 7434. The biggest common factor number is the GCF number.
So the greatest common factor 7431 and 7434 is 3.

Also check out the Least Common Multiple of 7431 and 7434

Properties of GCF 7431 and 7434

(i) The GCF of 7431 and 7434 is associative

GCF of 7431 and 7434 = GCF of 7434 and 7431

Related Greatest Common Factor of 7431

Related Greatest Common Factor of 7434

Frequently Asked Questions on GCF of 7431 and 7434

1. What is the GCF of 7431 and 7434?

Answer: GCF of 7431 and 7434 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 7434?

Answer: Factors of 7434 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717, 7434. There are 24 integers that are factors of 7434. The greatest factor of 7434 is 7434.

4. How to Find the GCF of 7431 and 7434?

Answer:

Greatest Common Factor of 7431 and 7434 = 3

Step 1: Find the prime factorization of 7431

7431 = 3 x 2477

Step 2: Find the prime factorization of 7434

7434 = 2 x 3 x 3 x 7 x 59

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 7434 is 3