Greatest Common Factor of 6838 and 6840

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 6838, 6840 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6838 and 6840 is 2.

GCF(6838,6840) = 2

GCF of 6838 and 6840

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

GCF of:
and

Greatest Common Factor of 6838 and 6840

GCF of 6838 and 6840 is 2

Prime Factorization of 6838


2 6838
13 3419
263 263
1

Prime factors of 6838 are 2,13,263. Prime factorization of 6838 in exponential form is:

6838 = 21×131×2631

Prime Factorization of 6840


2 6840
2 3420
2 1710
3 855
3 285
5 95
19 19
1

Prime factors of 6840 are 2,3,5,19. Prime factorization of 6840 in exponential form is:

6840 = 23×32×51×191

∴ So by taking common prime factors GCF of 6838 and 6840 is 2

Greatest Common Factor of 6838 and 6840 by matching factors method

Factors of 6838

List of positive integer factors of 6838 that divides 6838 without a remainder.

1,2,13,26,263,526,3419,6838

Factors of 6840

List of positive integer factors of 6840 that divides 6840 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,19,20,24,30,36,38,40,45,57,60,72,76,90,95,114,120,152,171,180,190,228,285,342,360,380,456,570,684,760,855,1140,1368,1710,2280,3420,6840

Greatest Common Factor

We found the factors and prime factorization of 6838 and 6840. The biggest common factor number is the GCF number.
So the greatest common factor 6838 and 6840 is 2.

Also check out the Least Common Multiple of 6838 and 6840

Properties of GCF 6838 and 6840

(i) The GCF of 6838 and 6840 is associative

GCF of 6838 and 6840 = GCF of 6840 and 6838

Related Greatest Common Factor of 6838

Related Greatest Common Factor of 6840

Frequently Asked Questions on GCF of 6838 and 6840

1. What is the GCF of 6838 and 6840?

Answer: GCF of 6838 and 6840 is 2.

2. What are the Factors of 6838?

Answer: Factors of 6838 are 1, 2, 13, 26, 263, 526, 3419, 6838. There are 8 integers that are factors of 6838. The greatest factor of 6838 is 6838.

3. What are the Factors of 6840?

Answer: Factors of 6840 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 570, 684, 760, 855, 1140, 1368, 1710, 2280, 3420, 6840. There are 48 integers that are factors of 6840. The greatest factor of 6840 is 6840.

4. How to Find the GCF of 6838 and 6840?

Answer:

Greatest Common Factor of 6838 and 6840 = 2

Step 1: Find the prime factorization of 6838

6838 = 2 x 13 x 263

Step 2: Find the prime factorization of 6840

6840 = 2 x 2 x 2 x 3 x 3 x 5 x 19

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 6838 and 6840 is 2