Greatest Common Factor of 6754 and 6759

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, 6759 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6754 and 6759 is 1.

GCF(6754,6759) = 1

GCF of 6754 and 6759

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

GCF of:
and

Greatest Common Factor of 6754 and 6759

GCF of 6754 and 6759 is 1

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 6759


3 6759
3 2253
751 751
1

Prime factors of 6759 are 3,751. Prime factorization of 6759 in exponential form is:

6759 = 32×7511

∴ So by taking common prime factors GCF of 6754 and 6759 is 1

Greatest Common Factor of 6754 and 6759 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 6759

List of positive integer factors of 6759 that divides 6759 without a remainder.

1,3,9,751,2253,6759

Greatest Common Factor

We found the factors and prime factorization of 6754 and 6759. The biggest common factor number is the GCF number.
So the greatest common factor 6754 and 6759 is 1.

Also check out the Least Common Multiple of 6754 and 6759

Properties of GCF 6754 and 6759

(i) The GCF of 6754 and 6759 is associative

GCF of 6754 and 6759 = GCF of 6759 and 6754

Related Greatest Common Factor of 6754

Related Greatest Common Factor of 6759

Frequently Asked Questions on GCF of 6754 and 6759

1. What is the GCF of 6754 and 6759?

Answer: GCF of 6754 and 6759 is 1.

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 6759?

Answer: Factors of 6759 are 1, 3, 9, 751, 2253, 6759. There are 6 integers that are factors of 6759. The greatest factor of 6759 is 6759.

4. How to Find the GCF of 6754 and 6759?

Answer:

Greatest Common Factor of 6754 and 6759 = 1

Step 1: Find the prime factorization of 6754

6754 = 2 x 11 x 307

Step 2: Find the prime factorization of 6759

6759 = 3 x 3 x 751

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 6754 and 6759 is 1