Greatest Common Factor of 6732 and 6739

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, 6739 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6732 and 6739 is 1.

GCF(6732,6739) = 1

GCF of 6732 and 6739

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

GCF of:
and

Greatest Common Factor of 6732 and 6739

GCF of 6732 and 6739 is 1

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 6739


23 6739
293 293
1

Prime factors of 6739 are 23,293. Prime factorization of 6739 in exponential form is:

6739 = 231×2931

∴ So by taking common prime factors GCF of 6732 and 6739 is 1

Greatest Common Factor of 6732 and 6739 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 6739

List of positive integer factors of 6739 that divides 6739 without a remainder.

1,23,293,6739

Greatest Common Factor

We found the factors and prime factorization of 6732 and 6739. The biggest common factor number is the GCF number.
So the greatest common factor 6732 and 6739 is 1.

Also check out the Least Common Multiple of 6732 and 6739

Properties of GCF 6732 and 6739

(i) The GCF of 6732 and 6739 is associative

GCF of 6732 and 6739 = GCF of 6739 and 6732

Related Greatest Common Factor of 6732

Related Greatest Common Factor of 6739

Frequently Asked Questions on GCF of 6732 and 6739

1. What is the GCF of 6732 and 6739?

Answer: GCF of 6732 and 6739 is 1.

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 6739?

Answer: Factors of 6739 are 1, 23, 293, 6739. There are 4 integers that are factors of 6739. The greatest factor of 6739 is 6739.

4. How to Find the GCF of 6732 and 6739?

Answer:

Greatest Common Factor of 6732 and 6739 = 1

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 6739

6739 = 23 x 293

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6732 and 6739 is 1