Greatest Common Factor of 6854 and 6862

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 6854, 6862 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6854 and 6862 is 2.

GCF(6854,6862) = 2

GCF of 6854 and 6862

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

GCF of:
and

Greatest Common Factor of 6854 and 6862

GCF of 6854 and 6862 is 2

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

Prime Factorization of 6862


2 6862
47 3431
73 73
1

Prime factors of 6862 are 2,47,73. Prime factorization of 6862 in exponential form is:

6862 = 21×471×731

∴ So by taking common prime factors GCF of 6854 and 6862 is 2

Greatest Common Factor of 6854 and 6862 by matching factors method

Factors of 6854

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

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

Factors of 6862

List of positive integer factors of 6862 that divides 6862 without a remainder.

1,2,47,73,94,146,3431,6862

Greatest Common Factor

We found the factors and prime factorization of 6854 and 6862. The biggest common factor number is the GCF number.
So the greatest common factor 6854 and 6862 is 2.

Also check out the Least Common Multiple of 6854 and 6862

Properties of GCF 6854 and 6862

(i) The GCF of 6854 and 6862 is associative

GCF of 6854 and 6862 = GCF of 6862 and 6854

Related Greatest Common Factor of 6854

Related Greatest Common Factor of 6862

Frequently Asked Questions on GCF of 6854 and 6862

1. What is the GCF of 6854 and 6862?

Answer: GCF of 6854 and 6862 is 2.

2. 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.

3. What are the Factors of 6862?

Answer: Factors of 6862 are 1, 2, 47, 73, 94, 146, 3431, 6862. There are 8 integers that are factors of 6862. The greatest factor of 6862 is 6862.

4. How to Find the GCF of 6854 and 6862?

Answer:

Greatest Common Factor of 6854 and 6862 = 2

Step 1: Find the prime factorization of 6854

6854 = 2 x 23 x 149

Step 2: Find the prime factorization of 6862

6862 = 2 x 47 x 73

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6854 and 6862 is 2