Greatest Common Factor of 6370 and 6376

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 6370, 6376 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6370 and 6376 is 2.

GCF(6370,6376) = 2

GCF of 6370 and 6376

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

GCF of:
and

Greatest Common Factor of 6370 and 6376

GCF of 6370 and 6376 is 2

Prime Factorization of 6370


2 6370
5 3185
7 637
7 91
13 13
1

Prime factors of 6370 are 2,5,7,13. Prime factorization of 6370 in exponential form is:

6370 = 21×51×72×131

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

∴ So by taking common prime factors GCF of 6370 and 6376 is 2

Greatest Common Factor of 6370 and 6376 by matching factors method

Factors of 6370

List of positive integer factors of 6370 that divides 6370 without a remainder.

1,2,5,7,10,13,14,26,35,49,65,70,91,98,130,182,245,455,490,637,910,1274,3185,6370

Factors of 6376

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

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

Greatest Common Factor

We found the factors and prime factorization of 6370 and 6376. The biggest common factor number is the GCF number.
So the greatest common factor 6370 and 6376 is 2.

Also check out the Least Common Multiple of 6370 and 6376

Properties of GCF 6370 and 6376

(i) The GCF of 6370 and 6376 is associative

GCF of 6370 and 6376 = GCF of 6376 and 6370

Related Greatest Common Factor of 6370

Related Greatest Common Factor of 6376

Frequently Asked Questions on GCF of 6370 and 6376

1. What is the GCF of 6370 and 6376?

Answer: GCF of 6370 and 6376 is 2.

2. What are the Factors of 6370?

Answer: Factors of 6370 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185, 6370. There are 24 integers that are factors of 6370. The greatest factor of 6370 is 6370.

3. 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.

4. How to Find the GCF of 6370 and 6376?

Answer:

Greatest Common Factor of 6370 and 6376 = 2

Step 1: Find the prime factorization of 6370

6370 = 2 x 5 x 7 x 7 x 13

Step 2: Find the prime factorization of 6376

6376 = 2 x 2 x 2 x 797

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 6370 and 6376 is 2