Greatest Common Factor of 6380 and 6385

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 6380, 6385 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6380 and 6385 is 5.

GCF(6380,6385) = 5

GCF of 6380 and 6385

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

GCF of:
and

Greatest Common Factor of 6380 and 6385

GCF of 6380 and 6385 is 5

Prime Factorization of 6380


2 6380
2 3190
5 1595
11 319
29 29
1

Prime factors of 6380 are 2,5,11,29. Prime factorization of 6380 in exponential form is:

6380 = 22×51×111×291

Prime Factorization of 6385


5 6385
1277 1277
1

Prime factors of 6385 are 5,1277. Prime factorization of 6385 in exponential form is:

6385 = 51×12771

∴ So by taking common prime factors GCF of 6380 and 6385 is 5

Greatest Common Factor of 6380 and 6385 by matching factors method

Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380

Factors of 6385

List of positive integer factors of 6385 that divides 6385 without a remainder.

1,5,1277,6385

Greatest Common Factor

We found the factors and prime factorization of 6380 and 6385. The biggest common factor number is the GCF number.
So the greatest common factor 6380 and 6385 is 5.

Also check out the Least Common Multiple of 6380 and 6385

Properties of GCF 6380 and 6385

(i) The GCF of 6380 and 6385 is associative

GCF of 6380 and 6385 = GCF of 6385 and 6380

Related Greatest Common Factor of 6380

Related Greatest Common Factor of 6385

Frequently Asked Questions on GCF of 6380 and 6385

1. What is the GCF of 6380 and 6385?

Answer: GCF of 6380 and 6385 is 5.

2. What are the Factors of 6380?

Answer: Factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380. There are 24 integers that are factors of 6380. The greatest factor of 6380 is 6380.

3. What are the Factors of 6385?

Answer: Factors of 6385 are 1, 5, 1277, 6385. There are 4 integers that are factors of 6385. The greatest factor of 6385 is 6385.

4. How to Find the GCF of 6380 and 6385?

Answer:

Greatest Common Factor of 6380 and 6385 = 5

Step 1: Find the prime factorization of 6380

6380 = 2 x 2 x 5 x 11 x 29

Step 2: Find the prime factorization of 6385

6385 = 5 x 1277

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6380 and 6385 is 5