Greatest Common Factor of 6376 and 6382

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 6376, 6382 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6376 and 6382 is 2.

GCF(6376,6382) = 2

GCF of 6376 and 6382

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

GCF of:
and

Greatest Common Factor of 6376 and 6382

GCF of 6376 and 6382 is 2

Prime Factorization of 6376


2 6376
2 3188
2 1594
797 797
1

Prime factors of 6376 are 2,797. Prime factorization of 6376 in exponential form is:

6376 = 23×7971

Prime Factorization of 6382


2 6382
3191 3191
1

Prime factors of 6382 are 2,3191. Prime factorization of 6382 in exponential form is:

6382 = 21×31911

∴ So by taking common prime factors GCF of 6376 and 6382 is 2

Greatest Common Factor of 6376 and 6382 by matching factors method

Factors of 6376

List of positive integer factors of 6376 that divides 6376 without a remainder.

1,2,4,8,797,1594,3188,6376

Factors of 6382

List of positive integer factors of 6382 that divides 6382 without a remainder.

1,2,3191,6382

Greatest Common Factor

We found the factors and prime factorization of 6376 and 6382. The biggest common factor number is the GCF number.
So the greatest common factor 6376 and 6382 is 2.

Also check out the Least Common Multiple of 6376 and 6382

Properties of GCF 6376 and 6382

(i) The GCF of 6376 and 6382 is associative

GCF of 6376 and 6382 = GCF of 6382 and 6376

Related Greatest Common Factor of 6376

Related Greatest Common Factor of 6382

Frequently Asked Questions on GCF of 6376 and 6382

1. What is the GCF of 6376 and 6382?

Answer: GCF of 6376 and 6382 is 2.

2. What are the Factors of 6376?

Answer: Factors of 6376 are 1, 2, 4, 8, 797, 1594, 3188, 6376. There are 8 integers that are factors of 6376. The greatest factor of 6376 is 6376.

3. What are the Factors of 6382?

Answer: Factors of 6382 are 1, 2, 3191, 6382. There are 4 integers that are factors of 6382. The greatest factor of 6382 is 6382.

4. How to Find the GCF of 6376 and 6382?

Answer:

Greatest Common Factor of 6376 and 6382 = 2

Step 1: Find the prime factorization of 6376

6376 = 2 x 2 x 2 x 797

Step 2: Find the prime factorization of 6382

6382 = 2 x 3191

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 6376 and 6382 is 2