Greatest Common Factor of 6849 and 6853

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, 6853 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6849 and 6853 is 1.

GCF(6849,6853) = 1

GCF of 6849 and 6853

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

GCF of:
and

Greatest Common Factor of 6849 and 6853

GCF of 6849 and 6853 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 6853


7 6853
11 979
89 89
1

Prime factors of 6853 are 7,11,89. Prime factorization of 6853 in exponential form is:

6853 = 71×111×891

∴ So by taking common prime factors GCF of 6849 and 6853 is 1

Greatest Common Factor of 6849 and 6853 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 6853

List of positive integer factors of 6853 that divides 6853 without a remainder.

1,7,11,77,89,623,979,6853

Greatest Common Factor

We found the factors and prime factorization of 6849 and 6853. The biggest common factor number is the GCF number.
So the greatest common factor 6849 and 6853 is 1.

Also check out the Least Common Multiple of 6849 and 6853

Properties of GCF 6849 and 6853

(i) The GCF of 6849 and 6853 is associative

GCF of 6849 and 6853 = GCF of 6853 and 6849

Related Greatest Common Factor of 6849

Related Greatest Common Factor of 6853

Frequently Asked Questions on GCF of 6849 and 6853

1. What is the GCF of 6849 and 6853?

Answer: GCF of 6849 and 6853 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 6853?

Answer: Factors of 6853 are 1, 7, 11, 77, 89, 623, 979, 6853. There are 8 integers that are factors of 6853. The greatest factor of 6853 is 6853.

4. How to Find the GCF of 6849 and 6853?

Answer:

Greatest Common Factor of 6849 and 6853 = 1

Step 1: Find the prime factorization of 6849

6849 = 3 x 3 x 761

Step 2: Find the prime factorization of 6853

6853 = 7 x 11 x 89

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 6853 is 1