Greatest Common Factor of 7395 and 7400

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 7395, 7400 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7395 and 7400 is 5.

GCF(7395,7400) = 5

GCF of 7395 and 7400

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

GCF of:
and

Greatest Common Factor of 7395 and 7400

GCF of 7395 and 7400 is 5

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

Prime Factorization of 7400


2 7400
2 3700
2 1850
5 925
5 185
37 37
1

Prime factors of 7400 are 2,5,37. Prime factorization of 7400 in exponential form is:

7400 = 23×52×371

∴ So by taking common prime factors GCF of 7395 and 7400 is 5

Greatest Common Factor of 7395 and 7400 by matching factors method

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

Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400

Greatest Common Factor

We found the factors and prime factorization of 7395 and 7400. The biggest common factor number is the GCF number.
So the greatest common factor 7395 and 7400 is 5.

Also check out the Least Common Multiple of 7395 and 7400

Properties of GCF 7395 and 7400

(i) The GCF of 7395 and 7400 is associative

GCF of 7395 and 7400 = GCF of 7400 and 7395

Related Greatest Common Factor of 7395

Related Greatest Common Factor of 7400

Frequently Asked Questions on GCF of 7395 and 7400

1. What is the GCF of 7395 and 7400?

Answer: GCF of 7395 and 7400 is 5.

2. 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.

3. What are the Factors of 7400?

Answer: Factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400. There are 24 integers that are factors of 7400. The greatest factor of 7400 is 7400.

4. How to Find the GCF of 7395 and 7400?

Answer:

Greatest Common Factor of 7395 and 7400 = 5

Step 1: Find the prime factorization of 7395

7395 = 3 x 5 x 17 x 29

Step 2: Find the prime factorization of 7400

7400 = 2 x 2 x 2 x 5 x 5 x 37

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 7395 and 7400 is 5