Greatest Common Factor of 6738 and 6744

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 6738, 6744 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6738 and 6744 is 6.

GCF(6738,6744) = 6

GCF of 6738 and 6744

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

GCF of:
and

Greatest Common Factor of 6738 and 6744

GCF of 6738 and 6744 is 6

Prime Factorization of 6738


2 6738
3 3369
1123 1123
1

Prime factors of 6738 are 2,3,1123. Prime factorization of 6738 in exponential form is:

6738 = 21×31×11231

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

∴ So by taking common prime factors GCF of 6738 and 6744 is 6

Greatest Common Factor of 6738 and 6744 by matching factors method

Factors of 6738

List of positive integer factors of 6738 that divides 6738 without a remainder.

1,2,3,6,1123,2246,3369,6738

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

Greatest Common Factor

We found the factors and prime factorization of 6738 and 6744. The biggest common factor number is the GCF number.
So the greatest common factor 6738 and 6744 is 6.

Also check out the Least Common Multiple of 6738 and 6744

Properties of GCF 6738 and 6744

(i) The GCF of 6738 and 6744 is associative

GCF of 6738 and 6744 = GCF of 6744 and 6738

Related Greatest Common Factor of 6738

Related Greatest Common Factor of 6744

Frequently Asked Questions on GCF of 6738 and 6744

1. What is the GCF of 6738 and 6744?

Answer: GCF of 6738 and 6744 is 6.

2. What are the Factors of 6738?

Answer: Factors of 6738 are 1, 2, 3, 6, 1123, 2246, 3369, 6738. There are 8 integers that are factors of 6738. The greatest factor of 6738 is 6738.

3. 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.

4. How to Find the GCF of 6738 and 6744?

Answer:

Greatest Common Factor of 6738 and 6744 = 6

Step 1: Find the prime factorization of 6738

6738 = 2 x 3 x 1123

Step 2: Find the prime factorization of 6744

6744 = 2 x 2 x 2 x 3 x 281

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6738 and 6744 is 6