Greatest Common Factor of 6834 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 6834, 6840 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6834 and 6840 is 6.

GCF(6834,6840) = 6

GCF of 6834 and 6840

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

GCF of:
and

Greatest Common Factor of 6834 and 6840

GCF of 6834 and 6840 is 6

Prime Factorization of 6834


2 6834
3 3417
17 1139
67 67
1

Prime factors of 6834 are 2,3,17,67. Prime factorization of 6834 in exponential form is:

6834 = 21×31×171×671

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 6834 and 6840 is 6

Greatest Common Factor of 6834 and 6840 by matching factors method

Factors of 6834

List of positive integer factors of 6834 that divides 6834 without a remainder.

1,2,3,6,17,34,51,67,102,134,201,402,1139,2278,3417,6834

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 6834 and 6840. The biggest common factor number is the GCF number.
So the greatest common factor 6834 and 6840 is 6.

Also check out the Least Common Multiple of 6834 and 6840

Properties of GCF 6834 and 6840

(i) The GCF of 6834 and 6840 is associative

GCF of 6834 and 6840 = GCF of 6840 and 6834

Related Greatest Common Factor of 6834

Related Greatest Common Factor of 6840

Frequently Asked Questions on GCF of 6834 and 6840

1. What is the GCF of 6834 and 6840?

Answer: GCF of 6834 and 6840 is 6.

2. What are the Factors of 6834?

Answer: Factors of 6834 are 1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834. There are 16 integers that are factors of 6834. The greatest factor of 6834 is 6834.

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 6834 and 6840?

Answer:

Greatest Common Factor of 6834 and 6840 = 6

Step 1: Find the prime factorization of 6834

6834 = 2 x 3 x 17 x 67

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 6834 and 6840 is 6