Greatest Common Factor of 6732 and 6738

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 6732, 6738 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6732 and 6738 is 6.

GCF(6732,6738) = 6

GCF of 6732 and 6738

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

GCF of:
and

Greatest Common Factor of 6732 and 6738

GCF of 6732 and 6738 is 6

Prime Factorization of 6732


2 6732
2 3366
3 1683
3 561
11 187
17 17
1

Prime factors of 6732 are 2,3,11,17. Prime factorization of 6732 in exponential form is:

6732 = 22×32×111×171

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

∴ So by taking common prime factors GCF of 6732 and 6738 is 6

Greatest Common Factor of 6732 and 6738 by matching factors method

Factors of 6732

List of positive integer factors of 6732 that divides 6732 without a remainder.

1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732

Factors of 6738

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

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

Greatest Common Factor

We found the factors and prime factorization of 6732 and 6738. The biggest common factor number is the GCF number.
So the greatest common factor 6732 and 6738 is 6.

Also check out the Least Common Multiple of 6732 and 6738

Properties of GCF 6732 and 6738

(i) The GCF of 6732 and 6738 is associative

GCF of 6732 and 6738 = GCF of 6738 and 6732

Related Greatest Common Factor of 6732

Related Greatest Common Factor of 6738

Frequently Asked Questions on GCF of 6732 and 6738

1. What is the GCF of 6732 and 6738?

Answer: GCF of 6732 and 6738 is 6.

2. What are the Factors of 6732?

Answer: Factors of 6732 are 1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 612, 748, 1122, 1683, 2244, 3366, 6732. There are 36 integers that are factors of 6732. The greatest factor of 6732 is 6732.

3. 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.

4. How to Find the GCF of 6732 and 6738?

Answer:

Greatest Common Factor of 6732 and 6738 = 6

Step 1: Find the prime factorization of 6732

6732 = 2 x 2 x 3 x 3 x 11 x 17

Step 2: Find the prime factorization of 6738

6738 = 2 x 3 x 1123

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 6732 and 6738 is 6