Greatest Common Factor of 6746 and 6754

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 6746, 6754 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6746 and 6754 is 2.

GCF(6746,6754) = 2

GCF of 6746 and 6754

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

GCF of:
and

Greatest Common Factor of 6746 and 6754

GCF of 6746 and 6754 is 2

Prime Factorization of 6746


2 6746
3373 3373
1

Prime factors of 6746 are 2,3373. Prime factorization of 6746 in exponential form is:

6746 = 21×33731

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

∴ So by taking common prime factors GCF of 6746 and 6754 is 2

Greatest Common Factor of 6746 and 6754 by matching factors method

Factors of 6746

List of positive integer factors of 6746 that divides 6746 without a remainder.

1,2,3373,6746

Factors of 6754

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

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

Greatest Common Factor

We found the factors and prime factorization of 6746 and 6754. The biggest common factor number is the GCF number.
So the greatest common factor 6746 and 6754 is 2.

Also check out the Least Common Multiple of 6746 and 6754

Properties of GCF 6746 and 6754

(i) The GCF of 6746 and 6754 is associative

GCF of 6746 and 6754 = GCF of 6754 and 6746

Related Greatest Common Factor of 6746

Related Greatest Common Factor of 6754

Frequently Asked Questions on GCF of 6746 and 6754

1. What is the GCF of 6746 and 6754?

Answer: GCF of 6746 and 6754 is 2.

2. What are the Factors of 6746?

Answer: Factors of 6746 are 1, 2, 3373, 6746. There are 4 integers that are factors of 6746. The greatest factor of 6746 is 6746.

3. 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.

4. How to Find the GCF of 6746 and 6754?

Answer:

Greatest Common Factor of 6746 and 6754 = 2

Step 1: Find the prime factorization of 6746

6746 = 2 x 3373

Step 2: Find the prime factorization of 6754

6754 = 2 x 11 x 307

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 6746 and 6754 is 2