Greatest Common Factor of 7404 and 7409

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 7404, 7409 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7404 and 7409 is 1.

GCF(7404,7409) = 1

GCF of 7404 and 7409

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

GCF of:
and

Greatest Common Factor of 7404 and 7409

GCF of 7404 and 7409 is 1

Prime Factorization of 7404


2 7404
2 3702
3 1851
617 617
1

Prime factors of 7404 are 2,3,617. Prime factorization of 7404 in exponential form is:

7404 = 22×31×6171

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

∴ So by taking common prime factors GCF of 7404 and 7409 is 1

Greatest Common Factor of 7404 and 7409 by matching factors method

Factors of 7404

List of positive integer factors of 7404 that divides 7404 without a remainder.

1,2,3,4,6,12,617,1234,1851,2468,3702,7404

Factors of 7409

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

1,31,239,7409

Greatest Common Factor

We found the factors and prime factorization of 7404 and 7409. The biggest common factor number is the GCF number.
So the greatest common factor 7404 and 7409 is 1.

Also check out the Least Common Multiple of 7404 and 7409

Properties of GCF 7404 and 7409

(i) The GCF of 7404 and 7409 is associative

GCF of 7404 and 7409 = GCF of 7409 and 7404

Related Greatest Common Factor of 7404

Related Greatest Common Factor of 7409

Frequently Asked Questions on GCF of 7404 and 7409

1. What is the GCF of 7404 and 7409?

Answer: GCF of 7404 and 7409 is 1.

2. What are the Factors of 7404?

Answer: Factors of 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404. There are 12 integers that are factors of 7404. The greatest factor of 7404 is 7404.

3. 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.

4. How to Find the GCF of 7404 and 7409?

Answer:

Greatest Common Factor of 7404 and 7409 = 1

Step 1: Find the prime factorization of 7404

7404 = 2 x 2 x 3 x 617

Step 2: Find the prime factorization of 7409

7409 = 31 x 239

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 7404 and 7409 is 1