Greatest Common Factor of 6849 and 6854

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 6849, 6854 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6849 and 6854 is 1.

GCF(6849,6854) = 1

GCF of 6849 and 6854

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

GCF of:
and

Greatest Common Factor of 6849 and 6854

GCF of 6849 and 6854 is 1

Prime Factorization of 6849


3 6849
3 2283
761 761
1

Prime factors of 6849 are 3,761. Prime factorization of 6849 in exponential form is:

6849 = 32×7611

Prime Factorization of 6854


2 6854
23 3427
149 149
1

Prime factors of 6854 are 2,23,149. Prime factorization of 6854 in exponential form is:

6854 = 21×231×1491

∴ So by taking common prime factors GCF of 6849 and 6854 is 1

Greatest Common Factor of 6849 and 6854 by matching factors method

Factors of 6849

List of positive integer factors of 6849 that divides 6849 without a remainder.

1,3,9,761,2283,6849

Factors of 6854

List of positive integer factors of 6854 that divides 6854 without a remainder.

1,2,23,46,149,298,3427,6854

Greatest Common Factor

We found the factors and prime factorization of 6849 and 6854. The biggest common factor number is the GCF number.
So the greatest common factor 6849 and 6854 is 1.

Also check out the Least Common Multiple of 6849 and 6854

Properties of GCF 6849 and 6854

(i) The GCF of 6849 and 6854 is associative

GCF of 6849 and 6854 = GCF of 6854 and 6849

Related Greatest Common Factor of 6849

Related Greatest Common Factor of 6854

Frequently Asked Questions on GCF of 6849 and 6854

1. What is the GCF of 6849 and 6854?

Answer: GCF of 6849 and 6854 is 1.

2. What are the Factors of 6849?

Answer: Factors of 6849 are 1, 3, 9, 761, 2283, 6849. There are 6 integers that are factors of 6849. The greatest factor of 6849 is 6849.

3. What are the Factors of 6854?

Answer: Factors of 6854 are 1, 2, 23, 46, 149, 298, 3427, 6854. There are 8 integers that are factors of 6854. The greatest factor of 6854 is 6854.

4. How to Find the GCF of 6849 and 6854?

Answer:

Greatest Common Factor of 6849 and 6854 = 1

Step 1: Find the prime factorization of 6849

6849 = 3 x 3 x 761

Step 2: Find the prime factorization of 6854

6854 = 2 x 23 x 149

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6849 and 6854 is 1