Greatest Common Factor of 6767 and 6770

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 6767, 6770 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6767 and 6770 is 1.

GCF(6767,6770) = 1

GCF of 6767 and 6770

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

GCF of:
and

Greatest Common Factor of 6767 and 6770

GCF of 6767 and 6770 is 1

Prime Factorization of 6767


67 6767
101 101
1

Prime factors of 6767 are 67,101. Prime factorization of 6767 in exponential form is:

6767 = 671×1011

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

∴ So by taking common prime factors GCF of 6767 and 6770 is 1

Greatest Common Factor of 6767 and 6770 by matching factors method

Factors of 6767

List of positive integer factors of 6767 that divides 6767 without a remainder.

1,67,101,6767

Factors of 6770

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

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

Greatest Common Factor

We found the factors and prime factorization of 6767 and 6770. The biggest common factor number is the GCF number.
So the greatest common factor 6767 and 6770 is 1.

Also check out the Least Common Multiple of 6767 and 6770

Properties of GCF 6767 and 6770

(i) The GCF of 6767 and 6770 is associative

GCF of 6767 and 6770 = GCF of 6770 and 6767

Related Greatest Common Factor of 6767

Related Greatest Common Factor of 6770

Frequently Asked Questions on GCF of 6767 and 6770

1. What is the GCF of 6767 and 6770?

Answer: GCF of 6767 and 6770 is 1.

2. What are the Factors of 6767?

Answer: Factors of 6767 are 1, 67, 101, 6767. There are 4 integers that are factors of 6767. The greatest factor of 6767 is 6767.

3. 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.

4. How to Find the GCF of 6767 and 6770?

Answer:

Greatest Common Factor of 6767 and 6770 = 1

Step 1: Find the prime factorization of 6767

6767 = 67 x 101

Step 2: Find the prime factorization of 6770

6770 = 2 x 5 x 677

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6767 and 6770 is 1