Greatest Common Factor of 6774 and 6778

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 6774, 6778 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6774 and 6778 is 2.

GCF(6774,6778) = 2

GCF of 6774 and 6778

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

GCF of:
and

Greatest Common Factor of 6774 and 6778

GCF of 6774 and 6778 is 2

Prime Factorization of 6774


2 6774
3 3387
1129 1129
1

Prime factors of 6774 are 2,3,1129. Prime factorization of 6774 in exponential form is:

6774 = 21×31×11291

Prime Factorization of 6778


2 6778
3389 3389
1

Prime factors of 6778 are 2,3389. Prime factorization of 6778 in exponential form is:

6778 = 21×33891

∴ So by taking common prime factors GCF of 6774 and 6778 is 2

Greatest Common Factor of 6774 and 6778 by matching factors method

Factors of 6774

List of positive integer factors of 6774 that divides 6774 without a remainder.

1,2,3,6,1129,2258,3387,6774

Factors of 6778

List of positive integer factors of 6778 that divides 6778 without a remainder.

1,2,3389,6778

Greatest Common Factor

We found the factors and prime factorization of 6774 and 6778. The biggest common factor number is the GCF number.
So the greatest common factor 6774 and 6778 is 2.

Also check out the Least Common Multiple of 6774 and 6778

Properties of GCF 6774 and 6778

(i) The GCF of 6774 and 6778 is associative

GCF of 6774 and 6778 = GCF of 6778 and 6774

Related Greatest Common Factor of 6774

Related Greatest Common Factor of 6778

Frequently Asked Questions on GCF of 6774 and 6778

1. What is the GCF of 6774 and 6778?

Answer: GCF of 6774 and 6778 is 2.

2. What are the Factors of 6774?

Answer: Factors of 6774 are 1, 2, 3, 6, 1129, 2258, 3387, 6774. There are 8 integers that are factors of 6774. The greatest factor of 6774 is 6774.

3. What are the Factors of 6778?

Answer: Factors of 6778 are 1, 2, 3389, 6778. There are 4 integers that are factors of 6778. The greatest factor of 6778 is 6778.

4. How to Find the GCF of 6774 and 6778?

Answer:

Greatest Common Factor of 6774 and 6778 = 2

Step 1: Find the prime factorization of 6774

6774 = 2 x 3 x 1129

Step 2: Find the prime factorization of 6778

6778 = 2 x 3389

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 6774 and 6778 is 2