Greatest Common Factor of 7387 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 7387, 7395 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7387 and 7395 is 1.

GCF(7387,7395) = 1

GCF of 7387 and 7395

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

GCF of:
and

Greatest Common Factor of 7387 and 7395

GCF of 7387 and 7395 is 1

Prime Factorization of 7387


83 7387
89 89
1

Prime factors of 7387 are 83,89. Prime factorization of 7387 in exponential form is:

7387 = 831×891

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 7387 and 7395 is 1

Greatest Common Factor of 7387 and 7395 by matching factors method

Factors of 7387

List of positive integer factors of 7387 that divides 7387 without a remainder.

1,83,89,7387

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 7387 and 7395. The biggest common factor number is the GCF number.
So the greatest common factor 7387 and 7395 is 1.

Also check out the Least Common Multiple of 7387 and 7395

Properties of GCF 7387 and 7395

(i) The GCF of 7387 and 7395 is associative

GCF of 7387 and 7395 = GCF of 7395 and 7387

Related Greatest Common Factor of 7387

Related Greatest Common Factor of 7395

Frequently Asked Questions on GCF of 7387 and 7395

1. What is the GCF of 7387 and 7395?

Answer: GCF of 7387 and 7395 is 1.

2. What are the Factors of 7387?

Answer: Factors of 7387 are 1, 83, 89, 7387. There are 4 integers that are factors of 7387. The greatest factor of 7387 is 7387.

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 7387 and 7395?

Answer:

Greatest Common Factor of 7387 and 7395 = 1

Step 1: Find the prime factorization of 7387

7387 = 83 x 89

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 = = 1

Step 4: Therefore, the greatest common factor of 7387 and 7395 is 1