Greatest Common Factor of 6853 and 6860

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 6853, 6860 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6853 and 6860 is 7.

GCF(6853,6860) = 7

GCF of 6853 and 6860

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

GCF of:
and

Greatest Common Factor of 6853 and 6860

GCF of 6853 and 6860 is 7

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

Prime Factorization of 6860


2 6860
2 3430
5 1715
7 343
7 49
7 7
1

Prime factors of 6860 are 2,5,7. Prime factorization of 6860 in exponential form is:

6860 = 22×51×73

∴ So by taking common prime factors GCF of 6853 and 6860 is 7

Greatest Common Factor of 6853 and 6860 by matching factors method

Factors of 6853

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

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

Factors of 6860

List of positive integer factors of 6860 that divides 6860 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860

Greatest Common Factor

We found the factors and prime factorization of 6853 and 6860. The biggest common factor number is the GCF number.
So the greatest common factor 6853 and 6860 is 7.

Also check out the Least Common Multiple of 6853 and 6860

Properties of GCF 6853 and 6860

(i) The GCF of 6853 and 6860 is associative

GCF of 6853 and 6860 = GCF of 6860 and 6853

Related Greatest Common Factor of 6853

Related Greatest Common Factor of 6860

Frequently Asked Questions on GCF of 6853 and 6860

1. What is the GCF of 6853 and 6860?

Answer: GCF of 6853 and 6860 is 7.

2. 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.

3. What are the Factors of 6860?

Answer: Factors of 6860 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860. There are 24 integers that are factors of 6860. The greatest factor of 6860 is 6860.

4. How to Find the GCF of 6853 and 6860?

Answer:

Greatest Common Factor of 6853 and 6860 = 7

Step 1: Find the prime factorization of 6853

6853 = 7 x 11 x 89

Step 2: Find the prime factorization of 6860

6860 = 2 x 2 x 5 x 7 x 7 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6853 and 6860 is 7