Greatest Common Factor of 6358 and 6366

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 6358, 6366 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6358 and 6366 is 2.

GCF(6358,6366) = 2

GCF of 6358 and 6366

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

GCF of:
and

Greatest Common Factor of 6358 and 6366

GCF of 6358 and 6366 is 2

Prime Factorization of 6358


2 6358
11 3179
17 289
17 17
1

Prime factors of 6358 are 2,11,17. Prime factorization of 6358 in exponential form is:

6358 = 21×111×172

Prime Factorization of 6366


2 6366
3 3183
1061 1061
1

Prime factors of 6366 are 2,3,1061. Prime factorization of 6366 in exponential form is:

6366 = 21×31×10611

∴ So by taking common prime factors GCF of 6358 and 6366 is 2

Greatest Common Factor of 6358 and 6366 by matching factors method

Factors of 6358

List of positive integer factors of 6358 that divides 6358 without a remainder.

1,2,11,17,22,34,187,289,374,578,3179,6358

Factors of 6366

List of positive integer factors of 6366 that divides 6366 without a remainder.

1,2,3,6,1061,2122,3183,6366

Greatest Common Factor

We found the factors and prime factorization of 6358 and 6366. The biggest common factor number is the GCF number.
So the greatest common factor 6358 and 6366 is 2.

Also check out the Least Common Multiple of 6358 and 6366

Properties of GCF 6358 and 6366

(i) The GCF of 6358 and 6366 is associative

GCF of 6358 and 6366 = GCF of 6366 and 6358

Related Greatest Common Factor of 6358

Related Greatest Common Factor of 6366

Frequently Asked Questions on GCF of 6358 and 6366

1. What is the GCF of 6358 and 6366?

Answer: GCF of 6358 and 6366 is 2.

2. What are the Factors of 6358?

Answer: Factors of 6358 are 1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358. There are 12 integers that are factors of 6358. The greatest factor of 6358 is 6358.

3. What are the Factors of 6366?

Answer: Factors of 6366 are 1, 2, 3, 6, 1061, 2122, 3183, 6366. There are 8 integers that are factors of 6366. The greatest factor of 6366 is 6366.

4. How to Find the GCF of 6358 and 6366?

Answer:

Greatest Common Factor of 6358 and 6366 = 2

Step 1: Find the prime factorization of 6358

6358 = 2 x 11 x 17 x 17

Step 2: Find the prime factorization of 6366

6366 = 2 x 3 x 1061

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6358 and 6366 is 2