Greatest Common Factor of 7390 and 7395

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 7390, 7395 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7390 and 7395 is 5.

GCF(7390,7395) = 5

GCF of 7390 and 7395

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

GCF of:
and

Greatest Common Factor of 7390 and 7395

GCF of 7390 and 7395 is 5

Prime Factorization of 7390


2 7390
5 3695
739 739
1

Prime factors of 7390 are 2,5,739. Prime factorization of 7390 in exponential form is:

7390 = 21×51×7391

Prime Factorization of 7395


3 7395
5 2465
17 493
29 29
1

Prime factors of 7395 are 3,5,17,29. Prime factorization of 7395 in exponential form is:

7395 = 31×51×171×291

∴ So by taking common prime factors GCF of 7390 and 7395 is 5

Greatest Common Factor of 7390 and 7395 by matching factors method

Factors of 7390

List of positive integer factors of 7390 that divides 7390 without a remainder.

1,2,5,10,739,1478,3695,7390

Factors of 7395

List of positive integer factors of 7395 that divides 7395 without a remainder.

1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395

Greatest Common Factor

We found the factors and prime factorization of 7390 and 7395. The biggest common factor number is the GCF number.
So the greatest common factor 7390 and 7395 is 5.

Also check out the Least Common Multiple of 7390 and 7395

Properties of GCF 7390 and 7395

(i) The GCF of 7390 and 7395 is associative

GCF of 7390 and 7395 = GCF of 7395 and 7390

Related Greatest Common Factor of 7390

Related Greatest Common Factor of 7395

Frequently Asked Questions on GCF of 7390 and 7395

1. What is the GCF of 7390 and 7395?

Answer: GCF of 7390 and 7395 is 5.

2. What are the Factors of 7390?

Answer: Factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390. There are 8 integers that are factors of 7390. The greatest factor of 7390 is 7390.

3. What are the Factors of 7395?

Answer: Factors of 7395 are 1, 3, 5, 15, 17, 29, 51, 85, 87, 145, 255, 435, 493, 1479, 2465, 7395. There are 16 integers that are factors of 7395. The greatest factor of 7395 is 7395.

4. How to Find the GCF of 7390 and 7395?

Answer:

Greatest Common Factor of 7390 and 7395 = 5

Step 1: Find the prime factorization of 7390

7390 = 2 x 5 x 739

Step 2: Find the prime factorization of 7395

7395 = 3 x 5 x 17 x 29

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7390 and 7395 is 5