Greatest Common Factor of 6770 and 6775

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, 6775 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6770 and 6775 is 5.

GCF(6770,6775) = 5

GCF of 6770 and 6775

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

GCF of:
and

Greatest Common Factor of 6770 and 6775

GCF of 6770 and 6775 is 5

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 6775


5 6775
5 1355
271 271
1

Prime factors of 6775 are 5,271. Prime factorization of 6775 in exponential form is:

6775 = 52×2711

∴ So by taking common prime factors GCF of 6770 and 6775 is 5

Greatest Common Factor of 6770 and 6775 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 6775

List of positive integer factors of 6775 that divides 6775 without a remainder.

1,5,25,271,1355,6775

Greatest Common Factor

We found the factors and prime factorization of 6770 and 6775. The biggest common factor number is the GCF number.
So the greatest common factor 6770 and 6775 is 5.

Also check out the Least Common Multiple of 6770 and 6775

Properties of GCF 6770 and 6775

(i) The GCF of 6770 and 6775 is associative

GCF of 6770 and 6775 = GCF of 6775 and 6770

Related Greatest Common Factor of 6770

Related Greatest Common Factor of 6775

Frequently Asked Questions on GCF of 6770 and 6775

1. What is the GCF of 6770 and 6775?

Answer: GCF of 6770 and 6775 is 5.

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 6775?

Answer: Factors of 6775 are 1, 5, 25, 271, 1355, 6775. There are 6 integers that are factors of 6775. The greatest factor of 6775 is 6775.

4. How to Find the GCF of 6770 and 6775?

Answer:

Greatest Common Factor of 6770 and 6775 = 5

Step 1: Find the prime factorization of 6770

6770 = 2 x 5 x 677

Step 2: Find the prime factorization of 6775

6775 = 5 x 5 x 271

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 6770 and 6775 is 5