Greatest Common Factor of 6740 and 6746

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 6740, 6746 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6740 and 6746 is 2.

GCF(6740,6746) = 2

GCF of 6740 and 6746

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

GCF of:
and

Greatest Common Factor of 6740 and 6746

GCF of 6740 and 6746 is 2

Prime Factorization of 6740


2 6740
2 3370
5 1685
337 337
1

Prime factors of 6740 are 2,5,337. Prime factorization of 6740 in exponential form is:

6740 = 22×51×3371

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

∴ So by taking common prime factors GCF of 6740 and 6746 is 2

Greatest Common Factor of 6740 and 6746 by matching factors method

Factors of 6740

List of positive integer factors of 6740 that divides 6740 without a remainder.

1,2,4,5,10,20,337,674,1348,1685,3370,6740

Factors of 6746

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

1,2,3373,6746

Greatest Common Factor

We found the factors and prime factorization of 6740 and 6746. The biggest common factor number is the GCF number.
So the greatest common factor 6740 and 6746 is 2.

Also check out the Least Common Multiple of 6740 and 6746

Properties of GCF 6740 and 6746

(i) The GCF of 6740 and 6746 is associative

GCF of 6740 and 6746 = GCF of 6746 and 6740

Related Greatest Common Factor of 6740

Related Greatest Common Factor of 6746

Frequently Asked Questions on GCF of 6740 and 6746

1. What is the GCF of 6740 and 6746?

Answer: GCF of 6740 and 6746 is 2.

2. What are the Factors of 6740?

Answer: Factors of 6740 are 1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740. There are 12 integers that are factors of 6740. The greatest factor of 6740 is 6740.

3. 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.

4. How to Find the GCF of 6740 and 6746?

Answer:

Greatest Common Factor of 6740 and 6746 = 2

Step 1: Find the prime factorization of 6740

6740 = 2 x 2 x 5 x 337

Step 2: Find the prime factorization of 6746

6746 = 2 x 3373

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 6740 and 6746 is 2