Greatest Common Factor of 6760 and 6767

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 6760, 6767 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6760 and 6767 is 1.

GCF(6760,6767) = 1

GCF of 6760 and 6767

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

GCF of:
and

Greatest Common Factor of 6760 and 6767

GCF of 6760 and 6767 is 1

Prime Factorization of 6760


2 6760
2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 6760 are 2,5,13. Prime factorization of 6760 in exponential form is:

6760 = 23×51×132

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

∴ So by taking common prime factors GCF of 6760 and 6767 is 1

Greatest Common Factor of 6760 and 6767 by matching factors method

Factors of 6760

List of positive integer factors of 6760 that divides 6760 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,169,260,338,520,676,845,1352,1690,3380,6760

Factors of 6767

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

1,67,101,6767

Greatest Common Factor

We found the factors and prime factorization of 6760 and 6767. The biggest common factor number is the GCF number.
So the greatest common factor 6760 and 6767 is 1.

Also check out the Least Common Multiple of 6760 and 6767

Properties of GCF 6760 and 6767

(i) The GCF of 6760 and 6767 is associative

GCF of 6760 and 6767 = GCF of 6767 and 6760

Related Greatest Common Factor of 6760

Related Greatest Common Factor of 6767

Frequently Asked Questions on GCF of 6760 and 6767

1. What is the GCF of 6760 and 6767?

Answer: GCF of 6760 and 6767 is 1.

2. What are the Factors of 6760?

Answer: Factors of 6760 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380, 6760. There are 24 integers that are factors of 6760. The greatest factor of 6760 is 6760.

3. 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.

4. How to Find the GCF of 6760 and 6767?

Answer:

Greatest Common Factor of 6760 and 6767 = 1

Step 1: Find the prime factorization of 6760

6760 = 2 x 2 x 2 x 5 x 13 x 13

Step 2: Find the prime factorization of 6767

6767 = 67 x 101

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 6760 and 6767 is 1