Greatest Common Factor of 6764 and 6766

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 6764, 6766 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6764 and 6766 is 2.

GCF(6764,6766) = 2

GCF of 6764 and 6766

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

GCF of:
and

Greatest Common Factor of 6764 and 6766

GCF of 6764 and 6766 is 2

Prime Factorization of 6764


2 6764
2 3382
19 1691
89 89
1

Prime factors of 6764 are 2,19,89. Prime factorization of 6764 in exponential form is:

6764 = 22×191×891

Prime Factorization of 6766


2 6766
17 3383
199 199
1

Prime factors of 6766 are 2,17,199. Prime factorization of 6766 in exponential form is:

6766 = 21×171×1991

∴ So by taking common prime factors GCF of 6764 and 6766 is 2

Greatest Common Factor of 6764 and 6766 by matching factors method

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1,2,4,19,38,76,89,178,356,1691,3382,6764

Factors of 6766

List of positive integer factors of 6766 that divides 6766 without a remainder.

1,2,17,34,199,398,3383,6766

Greatest Common Factor

We found the factors and prime factorization of 6764 and 6766. The biggest common factor number is the GCF number.
So the greatest common factor 6764 and 6766 is 2.

Also check out the Least Common Multiple of 6764 and 6766

Properties of GCF 6764 and 6766

(i) The GCF of 6764 and 6766 is associative

GCF of 6764 and 6766 = GCF of 6766 and 6764

Related Greatest Common Factor of 6764

Related Greatest Common Factor of 6766

Frequently Asked Questions on GCF of 6764 and 6766

1. What is the GCF of 6764 and 6766?

Answer: GCF of 6764 and 6766 is 2.

2. What are the Factors of 6764?

Answer: Factors of 6764 are 1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764. There are 12 integers that are factors of 6764. The greatest factor of 6764 is 6764.

3. What are the Factors of 6766?

Answer: Factors of 6766 are 1, 2, 17, 34, 199, 398, 3383, 6766. There are 8 integers that are factors of 6766. The greatest factor of 6766 is 6766.

4. How to Find the GCF of 6764 and 6766?

Answer:

Greatest Common Factor of 6764 and 6766 = 2

Step 1: Find the prime factorization of 6764

6764 = 2 x 2 x 19 x 89

Step 2: Find the prime factorization of 6766

6766 = 2 x 17 x 199

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 6764 and 6766 is 2