Greatest Common Factor of 6796 and 6802

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 6796, 6802 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6796 and 6802 is 2.

GCF(6796,6802) = 2

GCF of 6796 and 6802

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

GCF of:
and

Greatest Common Factor of 6796 and 6802

GCF of 6796 and 6802 is 2

Prime Factorization of 6796


2 6796
2 3398
1699 1699
1

Prime factors of 6796 are 2,1699. Prime factorization of 6796 in exponential form is:

6796 = 22×16991

Prime Factorization of 6802


2 6802
19 3401
179 179
1

Prime factors of 6802 are 2,19,179. Prime factorization of 6802 in exponential form is:

6802 = 21×191×1791

∴ So by taking common prime factors GCF of 6796 and 6802 is 2

Greatest Common Factor of 6796 and 6802 by matching factors method

Factors of 6796

List of positive integer factors of 6796 that divides 6796 without a remainder.

1,2,4,1699,3398,6796

Factors of 6802

List of positive integer factors of 6802 that divides 6802 without a remainder.

1,2,19,38,179,358,3401,6802

Greatest Common Factor

We found the factors and prime factorization of 6796 and 6802. The biggest common factor number is the GCF number.
So the greatest common factor 6796 and 6802 is 2.

Also check out the Least Common Multiple of 6796 and 6802

Properties of GCF 6796 and 6802

(i) The GCF of 6796 and 6802 is associative

GCF of 6796 and 6802 = GCF of 6802 and 6796

Related Greatest Common Factor of 6796

Related Greatest Common Factor of 6802

Frequently Asked Questions on GCF of 6796 and 6802

1. What is the GCF of 6796 and 6802?

Answer: GCF of 6796 and 6802 is 2.

2. What are the Factors of 6796?

Answer: Factors of 6796 are 1, 2, 4, 1699, 3398, 6796. There are 6 integers that are factors of 6796. The greatest factor of 6796 is 6796.

3. What are the Factors of 6802?

Answer: Factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802. There are 8 integers that are factors of 6802. The greatest factor of 6802 is 6802.

4. How to Find the GCF of 6796 and 6802?

Answer:

Greatest Common Factor of 6796 and 6802 = 2

Step 1: Find the prime factorization of 6796

6796 = 2 x 2 x 1699

Step 2: Find the prime factorization of 6802

6802 = 2 x 19 x 179

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 6796 and 6802 is 2