Greatest Common Factor of 6754 and 6760

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 6754, 6760 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6754 and 6760 is 2.

GCF(6754,6760) = 2

GCF of 6754 and 6760

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

GCF of:
and

Greatest Common Factor of 6754 and 6760

GCF of 6754 and 6760 is 2

Prime Factorization of 6754


2 6754
11 3377
307 307
1

Prime factors of 6754 are 2,11,307. Prime factorization of 6754 in exponential form is:

6754 = 21×111×3071

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

∴ So by taking common prime factors GCF of 6754 and 6760 is 2

Greatest Common Factor of 6754 and 6760 by matching factors method

Factors of 6754

List of positive integer factors of 6754 that divides 6754 without a remainder.

1,2,11,22,307,614,3377,6754

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

Greatest Common Factor

We found the factors and prime factorization of 6754 and 6760. The biggest common factor number is the GCF number.
So the greatest common factor 6754 and 6760 is 2.

Also check out the Least Common Multiple of 6754 and 6760

Properties of GCF 6754 and 6760

(i) The GCF of 6754 and 6760 is associative

GCF of 6754 and 6760 = GCF of 6760 and 6754

Related Greatest Common Factor of 6754

Related Greatest Common Factor of 6760

Frequently Asked Questions on GCF of 6754 and 6760

1. What is the GCF of 6754 and 6760?

Answer: GCF of 6754 and 6760 is 2.

2. What are the Factors of 6754?

Answer: Factors of 6754 are 1, 2, 11, 22, 307, 614, 3377, 6754. There are 8 integers that are factors of 6754. The greatest factor of 6754 is 6754.

3. 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.

4. How to Find the GCF of 6754 and 6760?

Answer:

Greatest Common Factor of 6754 and 6760 = 2

Step 1: Find the prime factorization of 6754

6754 = 2 x 11 x 307

Step 2: Find the prime factorization of 6760

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

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 6754 and 6760 is 2