Greatest Common Factor of 6391 and 6398

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 6391, 6398 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6391 and 6398 is 7.

GCF(6391,6398) = 7

GCF of 6391 and 6398

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

GCF of:
and

Greatest Common Factor of 6391 and 6398

GCF of 6391 and 6398 is 7

Prime Factorization of 6391


7 6391
11 913
83 83
1

Prime factors of 6391 are 7,11,83. Prime factorization of 6391 in exponential form is:

6391 = 71×111×831

Prime Factorization of 6398


2 6398
7 3199
457 457
1

Prime factors of 6398 are 2,7,457. Prime factorization of 6398 in exponential form is:

6398 = 21×71×4571

∴ So by taking common prime factors GCF of 6391 and 6398 is 7

Greatest Common Factor of 6391 and 6398 by matching factors method

Factors of 6391

List of positive integer factors of 6391 that divides 6391 without a remainder.

1,7,11,77,83,581,913,6391

Factors of 6398

List of positive integer factors of 6398 that divides 6398 without a remainder.

1,2,7,14,457,914,3199,6398

Greatest Common Factor

We found the factors and prime factorization of 6391 and 6398. The biggest common factor number is the GCF number.
So the greatest common factor 6391 and 6398 is 7.

Also check out the Least Common Multiple of 6391 and 6398

Properties of GCF 6391 and 6398

(i) The GCF of 6391 and 6398 is associative

GCF of 6391 and 6398 = GCF of 6398 and 6391

Related Greatest Common Factor of 6391

Related Greatest Common Factor of 6398

Frequently Asked Questions on GCF of 6391 and 6398

1. What is the GCF of 6391 and 6398?

Answer: GCF of 6391 and 6398 is 7.

2. What are the Factors of 6391?

Answer: Factors of 6391 are 1, 7, 11, 77, 83, 581, 913, 6391. There are 8 integers that are factors of 6391. The greatest factor of 6391 is 6391.

3. What are the Factors of 6398?

Answer: Factors of 6398 are 1, 2, 7, 14, 457, 914, 3199, 6398. There are 8 integers that are factors of 6398. The greatest factor of 6398 is 6398.

4. How to Find the GCF of 6391 and 6398?

Answer:

Greatest Common Factor of 6391 and 6398 = 7

Step 1: Find the prime factorization of 6391

6391 = 7 x 11 x 83

Step 2: Find the prime factorization of 6398

6398 = 2 x 7 x 457

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6391 and 6398 is 7