Greatest Common Factor of 6774 and 6776

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, 6776 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6774 and 6776 is 2.

GCF(6774,6776) = 2

GCF of 6774 and 6776

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

GCF of:
and

Greatest Common Factor of 6774 and 6776

GCF of 6774 and 6776 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 6776


2 6776
2 3388
2 1694
7 847
11 121
11 11
1

Prime factors of 6776 are 2,7,11. Prime factorization of 6776 in exponential form is:

6776 = 23×71×112

∴ So by taking common prime factors GCF of 6774 and 6776 is 2

Greatest Common Factor of 6774 and 6776 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 6776

List of positive integer factors of 6776 that divides 6776 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,121,154,242,308,484,616,847,968,1694,3388,6776

Greatest Common Factor

We found the factors and prime factorization of 6774 and 6776. The biggest common factor number is the GCF number.
So the greatest common factor 6774 and 6776 is 2.

Also check out the Least Common Multiple of 6774 and 6776

Properties of GCF 6774 and 6776

(i) The GCF of 6774 and 6776 is associative

GCF of 6774 and 6776 = GCF of 6776 and 6774

Related Greatest Common Factor of 6774

Related Greatest Common Factor of 6776

Frequently Asked Questions on GCF of 6774 and 6776

1. What is the GCF of 6774 and 6776?

Answer: GCF of 6774 and 6776 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 6776?

Answer: Factors of 6776 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1694, 3388, 6776. There are 24 integers that are factors of 6776. The greatest factor of 6776 is 6776.

4. How to Find the GCF of 6774 and 6776?

Answer:

Greatest Common Factor of 6774 and 6776 = 2

Step 1: Find the prime factorization of 6774

6774 = 2 x 3 x 1129

Step 2: Find the prime factorization of 6776

6776 = 2 x 2 x 2 x 7 x 11 x 11

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 6776 is 2