Greatest Common Factor of 6840 and 6848

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 6840, 6848 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6840 and 6848 is 8.

GCF(6840,6848) = 8

GCF of 6840 and 6848

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

GCF of:
and

Greatest Common Factor of 6840 and 6848

GCF of 6840 and 6848 is 8

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

Prime Factorization of 6848


2 6848
2 3424
2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 6848 are 2,107. Prime factorization of 6848 in exponential form is:

6848 = 26×1071

∴ So by taking common prime factors GCF of 6840 and 6848 is 8

Greatest Common Factor of 6840 and 6848 by matching factors method

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

Factors of 6848

List of positive integer factors of 6848 that divides 6848 without a remainder.

1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848

Greatest Common Factor

We found the factors and prime factorization of 6840 and 6848. The biggest common factor number is the GCF number.
So the greatest common factor 6840 and 6848 is 8.

Also check out the Least Common Multiple of 6840 and 6848

Properties of GCF 6840 and 6848

(i) The GCF of 6840 and 6848 is associative

GCF of 6840 and 6848 = GCF of 6848 and 6840

Related Greatest Common Factor of 6840

Related Greatest Common Factor of 6848

Frequently Asked Questions on GCF of 6840 and 6848

1. What is the GCF of 6840 and 6848?

Answer: GCF of 6840 and 6848 is 8.

2. 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.

3. What are the Factors of 6848?

Answer: Factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848. There are 14 integers that are factors of 6848. The greatest factor of 6848 is 6848.

4. How to Find the GCF of 6840 and 6848?

Answer:

Greatest Common Factor of 6840 and 6848 = 8

Step 1: Find the prime factorization of 6840

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

Step 2: Find the prime factorization of 6848

6848 = 2 x 2 x 2 x 2 x 2 x 2 x 107

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 6840 and 6848 is 8