Greatest Common Factor of 8386 and 8393

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 8386, 8393 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8386 and 8393 is 7.

GCF(8386,8393) = 7

GCF of 8386 and 8393

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

GCF of:
and

Greatest Common Factor of 8386 and 8393

GCF of 8386 and 8393 is 7

Prime Factorization of 8386


2 8386
7 4193
599 599
1

Prime factors of 8386 are 2,7,599. Prime factorization of 8386 in exponential form is:

8386 = 21×71×5991

Prime Factorization of 8393


7 8393
11 1199
109 109
1

Prime factors of 8393 are 7,11,109. Prime factorization of 8393 in exponential form is:

8393 = 71×111×1091

∴ So by taking common prime factors GCF of 8386 and 8393 is 7

Greatest Common Factor of 8386 and 8393 by matching factors method

Factors of 8386

List of positive integer factors of 8386 that divides 8386 without a remainder.

1,2,7,14,599,1198,4193,8386

Factors of 8393

List of positive integer factors of 8393 that divides 8393 without a remainder.

1,7,11,77,109,763,1199,8393

Greatest Common Factor

We found the factors and prime factorization of 8386 and 8393. The biggest common factor number is the GCF number.
So the greatest common factor 8386 and 8393 is 7.

Also check out the Least Common Multiple of 8386 and 8393

Properties of GCF 8386 and 8393

(i) The GCF of 8386 and 8393 is associative

GCF of 8386 and 8393 = GCF of 8393 and 8386

Related Greatest Common Factor of 8386

Related Greatest Common Factor of 8393

Frequently Asked Questions on GCF of 8386 and 8393

1. What is the GCF of 8386 and 8393?

Answer: GCF of 8386 and 8393 is 7.

2. What are the Factors of 8386?

Answer: Factors of 8386 are 1, 2, 7, 14, 599, 1198, 4193, 8386. There are 8 integers that are factors of 8386. The greatest factor of 8386 is 8386.

3. What are the Factors of 8393?

Answer: Factors of 8393 are 1, 7, 11, 77, 109, 763, 1199, 8393. There are 8 integers that are factors of 8393. The greatest factor of 8393 is 8393.

4. How to Find the GCF of 8386 and 8393?

Answer:

Greatest Common Factor of 8386 and 8393 = 7

Step 1: Find the prime factorization of 8386

8386 = 2 x 7 x 599

Step 2: Find the prime factorization of 8393

8393 = 7 x 11 x 109

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 8386 and 8393 is 7