Greatest Common Factor of 6770 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 6770, 6776 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6770 and 6776 is 2.

GCF(6770,6776) = 2

GCF of 6770 and 6776

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

GCF of:
and

Greatest Common Factor of 6770 and 6776

GCF of 6770 and 6776 is 2

Prime Factorization of 6770


2 6770
5 3385
677 677
1

Prime factors of 6770 are 2,5,677. Prime factorization of 6770 in exponential form is:

6770 = 21×51×6771

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 6770 and 6776 is 2

Greatest Common Factor of 6770 and 6776 by matching factors method

Factors of 6770

List of positive integer factors of 6770 that divides 6770 without a remainder.

1,2,5,10,677,1354,3385,6770

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 6770 and 6776. The biggest common factor number is the GCF number.
So the greatest common factor 6770 and 6776 is 2.

Also check out the Least Common Multiple of 6770 and 6776

Properties of GCF 6770 and 6776

(i) The GCF of 6770 and 6776 is associative

GCF of 6770 and 6776 = GCF of 6776 and 6770

Related Greatest Common Factor of 6770

Related Greatest Common Factor of 6776

Frequently Asked Questions on GCF of 6770 and 6776

1. What is the GCF of 6770 and 6776?

Answer: GCF of 6770 and 6776 is 2.

2. What are the Factors of 6770?

Answer: Factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770. There are 8 integers that are factors of 6770. The greatest factor of 6770 is 6770.

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 6770 and 6776?

Answer:

Greatest Common Factor of 6770 and 6776 = 2

Step 1: Find the prime factorization of 6770

6770 = 2 x 5 x 677

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 6770 and 6776 is 2