Greatest Common Factor of 6358 and 6364

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, 6364 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6358 and 6364 is 2.

GCF(6358,6364) = 2

GCF of 6358 and 6364

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

GCF of:
and

Greatest Common Factor of 6358 and 6364

GCF of 6358 and 6364 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 6364


2 6364
2 3182
37 1591
43 43
1

Prime factors of 6364 are 2,37,43. Prime factorization of 6364 in exponential form is:

6364 = 22×371×431

∴ So by taking common prime factors GCF of 6358 and 6364 is 2

Greatest Common Factor of 6358 and 6364 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 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1,2,4,37,43,74,86,148,172,1591,3182,6364

Greatest Common Factor

We found the factors and prime factorization of 6358 and 6364. The biggest common factor number is the GCF number.
So the greatest common factor 6358 and 6364 is 2.

Also check out the Least Common Multiple of 6358 and 6364

Properties of GCF 6358 and 6364

(i) The GCF of 6358 and 6364 is associative

GCF of 6358 and 6364 = GCF of 6364 and 6358

Related Greatest Common Factor of 6358

Related Greatest Common Factor of 6364

Frequently Asked Questions on GCF of 6358 and 6364

1. What is the GCF of 6358 and 6364?

Answer: GCF of 6358 and 6364 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 6364?

Answer: Factors of 6364 are 1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364. There are 12 integers that are factors of 6364. The greatest factor of 6364 is 6364.

4. How to Find the GCF of 6358 and 6364?

Answer:

Greatest Common Factor of 6358 and 6364 = 2

Step 1: Find the prime factorization of 6358

6358 = 2 x 11 x 17 x 17

Step 2: Find the prime factorization of 6364

6364 = 2 x 2 x 37 x 43

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 6364 is 2