Greatest Common Factor of 7397 and 7404

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 7397, 7404 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7397 and 7404 is 1.

GCF(7397,7404) = 1

GCF of 7397 and 7404

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

GCF of:
and

Greatest Common Factor of 7397 and 7404

GCF of 7397 and 7404 is 1

Prime Factorization of 7397


13 7397
569 569
1

Prime factors of 7397 are 13,569. Prime factorization of 7397 in exponential form is:

7397 = 131×5691

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

∴ So by taking common prime factors GCF of 7397 and 7404 is 1

Greatest Common Factor of 7397 and 7404 by matching factors method

Factors of 7397

List of positive integer factors of 7397 that divides 7397 without a remainder.

1,13,569,7397

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

Greatest Common Factor

We found the factors and prime factorization of 7397 and 7404. The biggest common factor number is the GCF number.
So the greatest common factor 7397 and 7404 is 1.

Also check out the Least Common Multiple of 7397 and 7404

Properties of GCF 7397 and 7404

(i) The GCF of 7397 and 7404 is associative

GCF of 7397 and 7404 = GCF of 7404 and 7397

Related Greatest Common Factor of 7397

Related Greatest Common Factor of 7404

Frequently Asked Questions on GCF of 7397 and 7404

1. What is the GCF of 7397 and 7404?

Answer: GCF of 7397 and 7404 is 1.

2. What are the Factors of 7397?

Answer: Factors of 7397 are 1, 13, 569, 7397. There are 4 integers that are factors of 7397. The greatest factor of 7397 is 7397.

3. 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.

4. How to Find the GCF of 7397 and 7404?

Answer:

Greatest Common Factor of 7397 and 7404 = 1

Step 1: Find the prime factorization of 7397

7397 = 13 x 569

Step 2: Find the prime factorization of 7404

7404 = 2 x 2 x 3 x 617

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 7397 and 7404 is 1