Greatest Common Factor of 7393 and 7398

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 7393, 7398 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7393 and 7398 is 1.

GCF(7393,7398) = 1

GCF of 7393 and 7398

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

GCF of:
and

Greatest Common Factor of 7393 and 7398

GCF of 7393 and 7398 is 1

Prime Factorization of 7393


7393 7393
1

Prime factors of 7393 are 7393. Prime factorization of 7393 in exponential form is:

7393 = 73931

Prime Factorization of 7398


2 7398
3 3699
3 1233
3 411
137 137
1

Prime factors of 7398 are 2.Prime factorization of 7398 in exponential form is:

7398 = 21×33×1371

∴ So by taking common prime factors GCF of 7393 and 7398 is 1

Greatest Common Factor of 7393 and 7398 by matching factors method

Factors of 7393

List of positive integer factors of 7393 that divides 7393 without a remainder.

1,7393

Factors of 7398

List of positive integer factors of 7398 that divides 7398 without a remainder.

1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398

Greatest Common Factor

We found the factors and prime factorization of 7393 and 7398. The biggest common factor number is the GCF number.
So the greatest common factor 7393 and 7398 is 1.

Also check out the Least Common Multiple of 7393 and 7398

Properties of GCF 7393 and 7398

(i) The GCF of 7393 and 7398 is associative

GCF of 7393 and 7398 = GCF of 7398 and 7393

Frequently Asked Questions on GCF of 7393 and 7398

1. What is the GCF of 7393 and 7398?

Answer: GCF of 7393 and 7398 is 1.

2. What are the Factors of 7393?

Answer: Factors of 7393 are 1, 7393. There are 2 integers that are factors of 7393. The greatest factor of 7393 is 7393.

3. What are the Factors of 7398?

Answer: Factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398. There are 16 integers that are factors of 7398. The greatest factor of 7398 is 7398.

4. How to Find the GCF of 7393 and 7398?

Answer:

Greatest Common Factor of 7393 and 7398 = 1

Step 1: Find the prime factorization of 7393

7393 = 7393

Step 2: Find the prime factorization of 7398

7398 = 2 x 3 x 3 x 3 x 137

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 7393 and 7398 is 1