Greatest Common Factor of 7406 and 7413

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 7406, 7413 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7406 and 7413 is 7.

GCF(7406,7413) = 7

GCF of 7406 and 7413

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

GCF of:
and

Greatest Common Factor of 7406 and 7413

GCF of 7406 and 7413 is 7

Prime Factorization of 7406


2 7406
7 3703
23 529
23 23
1

Prime factors of 7406 are 2,7,23. Prime factorization of 7406 in exponential form is:

7406 = 21×71×232

Prime Factorization of 7413


3 7413
7 2471
353 353
1

Prime factors of 7413 are 3,7,353. Prime factorization of 7413 in exponential form is:

7413 = 31×71×3531

∴ So by taking common prime factors GCF of 7406 and 7413 is 7

Greatest Common Factor of 7406 and 7413 by matching factors method

Factors of 7406

List of positive integer factors of 7406 that divides 7406 without a remainder.

1,2,7,14,23,46,161,322,529,1058,3703,7406

Factors of 7413

List of positive integer factors of 7413 that divides 7413 without a remainder.

1,3,7,21,353,1059,2471,7413

Greatest Common Factor

We found the factors and prime factorization of 7406 and 7413. The biggest common factor number is the GCF number.
So the greatest common factor 7406 and 7413 is 7.

Also check out the Least Common Multiple of 7406 and 7413

Properties of GCF 7406 and 7413

(i) The GCF of 7406 and 7413 is associative

GCF of 7406 and 7413 = GCF of 7413 and 7406

Related Greatest Common Factor of 7406

Related Greatest Common Factor of 7413

Frequently Asked Questions on GCF of 7406 and 7413

1. What is the GCF of 7406 and 7413?

Answer: GCF of 7406 and 7413 is 7.

2. What are the Factors of 7406?

Answer: Factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406. There are 12 integers that are factors of 7406. The greatest factor of 7406 is 7406.

3. What are the Factors of 7413?

Answer: Factors of 7413 are 1, 3, 7, 21, 353, 1059, 2471, 7413. There are 8 integers that are factors of 7413. The greatest factor of 7413 is 7413.

4. How to Find the GCF of 7406 and 7413?

Answer:

Greatest Common Factor of 7406 and 7413 = 7

Step 1: Find the prime factorization of 7406

7406 = 2 x 7 x 23 x 23

Step 2: Find the prime factorization of 7413

7413 = 3 x 7 x 353

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7406 and 7413 is 7