Greatest Common Factor of 6732 and 6736

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, 6736 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6732 and 6736 is 4.

GCF(6732,6736) = 4

GCF of 6732 and 6736

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

GCF of:
and

Greatest Common Factor of 6732 and 6736

GCF of 6732 and 6736 is 4

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 6736


2 6736
2 3368
2 1684
2 842
421 421
1

Prime factors of 6736 are 2,421. Prime factorization of 6736 in exponential form is:

6736 = 24×4211

∴ So by taking common prime factors GCF of 6732 and 6736 is 4

Greatest Common Factor of 6732 and 6736 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 6736

List of positive integer factors of 6736 that divides 6736 without a remainder.

1,2,4,8,16,421,842,1684,3368,6736

Greatest Common Factor

We found the factors and prime factorization of 6732 and 6736. The biggest common factor number is the GCF number.
So the greatest common factor 6732 and 6736 is 4.

Also check out the Least Common Multiple of 6732 and 6736

Properties of GCF 6732 and 6736

(i) The GCF of 6732 and 6736 is associative

GCF of 6732 and 6736 = GCF of 6736 and 6732

Related Greatest Common Factor of 6732

Related Greatest Common Factor of 6736

Frequently Asked Questions on GCF of 6732 and 6736

1. What is the GCF of 6732 and 6736?

Answer: GCF of 6732 and 6736 is 4.

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 6736?

Answer: Factors of 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736. There are 10 integers that are factors of 6736. The greatest factor of 6736 is 6736.

4. How to Find the GCF of 6732 and 6736?

Answer:

Greatest Common Factor of 6732 and 6736 = 4

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 6736

6736 = 2 x 2 x 2 x 2 x 421

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6732 and 6736 is 4