Greatest Common Factor of 7409 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 7409, 7413 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7409 and 7413 is 1.

GCF(7409,7413) = 1

GCF of 7409 and 7413

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

GCF of:
and

Greatest Common Factor of 7409 and 7413

GCF of 7409 and 7413 is 1

Prime Factorization of 7409


31 7409
239 239
1

Prime factors of 7409 are 31,239. Prime factorization of 7409 in exponential form is:

7409 = 311×2391

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 7409 and 7413 is 1

Greatest Common Factor of 7409 and 7413 by matching factors method

Factors of 7409

List of positive integer factors of 7409 that divides 7409 without a remainder.

1,31,239,7409

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 7409 and 7413. The biggest common factor number is the GCF number.
So the greatest common factor 7409 and 7413 is 1.

Also check out the Least Common Multiple of 7409 and 7413

Properties of GCF 7409 and 7413

(i) The GCF of 7409 and 7413 is associative

GCF of 7409 and 7413 = GCF of 7413 and 7409

Related Greatest Common Factor of 7409

Related Greatest Common Factor of 7413

Frequently Asked Questions on GCF of 7409 and 7413

1. What is the GCF of 7409 and 7413?

Answer: GCF of 7409 and 7413 is 1.

2. What are the Factors of 7409?

Answer: Factors of 7409 are 1, 31, 239, 7409. There are 4 integers that are factors of 7409. The greatest factor of 7409 is 7409.

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 7409 and 7413?

Answer:

Greatest Common Factor of 7409 and 7413 = 1

Step 1: Find the prime factorization of 7409

7409 = 31 x 239

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 = = 1

Step 4: Therefore, the greatest common factor of 7409 and 7413 is 1