Greatest Common Factor of 7387 and 7391

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, 7391 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7387 and 7391 is 1.

GCF(7387,7391) = 1

GCF of 7387 and 7391

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

GCF of:
and

Greatest Common Factor of 7387 and 7391

GCF of 7387 and 7391 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 7391


19 7391
389 389
1

Prime factors of 7391 are 19,389. Prime factorization of 7391 in exponential form is:

7391 = 191×3891

∴ So by taking common prime factors GCF of 7387 and 7391 is 1

Greatest Common Factor of 7387 and 7391 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 7391

List of positive integer factors of 7391 that divides 7391 without a remainder.

1,19,389,7391

Greatest Common Factor

We found the factors and prime factorization of 7387 and 7391. The biggest common factor number is the GCF number.
So the greatest common factor 7387 and 7391 is 1.

Also check out the Least Common Multiple of 7387 and 7391

Properties of GCF 7387 and 7391

(i) The GCF of 7387 and 7391 is associative

GCF of 7387 and 7391 = GCF of 7391 and 7387

Related Greatest Common Factor of 7387

Related Greatest Common Factor of 7391

Frequently Asked Questions on GCF of 7387 and 7391

1. What is the GCF of 7387 and 7391?

Answer: GCF of 7387 and 7391 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 7391?

Answer: Factors of 7391 are 1, 19, 389, 7391. There are 4 integers that are factors of 7391. The greatest factor of 7391 is 7391.

4. How to Find the GCF of 7387 and 7391?

Answer:

Greatest Common Factor of 7387 and 7391 = 1

Step 1: Find the prime factorization of 7387

7387 = 83 x 89

Step 2: Find the prime factorization of 7391

7391 = 19 x 389

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 7391 is 1