Greatest Common Factor of 6744 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 6744, 6746 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6744 and 6746 is 2.

GCF(6744,6746) = 2

GCF of 6744 and 6746

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

GCF of:
and

Greatest Common Factor of 6744 and 6746

GCF of 6744 and 6746 is 2

Prime Factorization of 6744


2 6744
2 3372
2 1686
3 843
281 281
1

Prime factors of 6744 are 2,3,281. Prime factorization of 6744 in exponential form is:

6744 = 23×31×2811

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 6744 and 6746 is 2

Greatest Common Factor of 6744 and 6746 by matching factors method

Factors of 6744

List of positive integer factors of 6744 that divides 6744 without a remainder.

1,2,3,4,6,8,12,24,281,562,843,1124,1686,2248,3372,6744

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 6744 and 6746. The biggest common factor number is the GCF number.
So the greatest common factor 6744 and 6746 is 2.

Also check out the Least Common Multiple of 6744 and 6746

Properties of GCF 6744 and 6746

(i) The GCF of 6744 and 6746 is associative

GCF of 6744 and 6746 = GCF of 6746 and 6744

Related Greatest Common Factor of 6744

Related Greatest Common Factor of 6746

Frequently Asked Questions on GCF of 6744 and 6746

1. What is the GCF of 6744 and 6746?

Answer: GCF of 6744 and 6746 is 2.

2. What are the Factors of 6744?

Answer: Factors of 6744 are 1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, 6744. There are 16 integers that are factors of 6744. The greatest factor of 6744 is 6744.

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 6744 and 6746?

Answer:

Greatest Common Factor of 6744 and 6746 = 2

Step 1: Find the prime factorization of 6744

6744 = 2 x 2 x 2 x 3 x 281

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 6744 and 6746 is 2