Greatest Common Factor of 3690 and 3696

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 3690, 3696 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3690 and 3696 is 6.

GCF(3690,3696) = 6

GCF of 3690 and 3696

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

GCF of:
and

Greatest Common Factor of 3690 and 3696

GCF of 3690 and 3696 is 6

Prime Factorization of 3690


2 3690
3 1845
3 615
5 205
41 41
1

Prime factors of 3690 are 2,3,5,41. Prime factorization of 3690 in exponential form is:

3690 = 21×32×51×411

Prime Factorization of 3696


2 3696
2 1848
2 924
2 462
3 231
7 77
11 11
1

Prime factors of 3696 are 2,3,7,11. Prime factorization of 3696 in exponential form is:

3696 = 24×31×71×111

∴ So by taking common prime factors GCF of 3690 and 3696 is 6

Greatest Common Factor of 3690 and 3696 by matching factors method

Factors of 3690

List of positive integer factors of 3690 that divides 3690 without a remainder.

1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690

Factors of 3696

List of positive integer factors of 3696 that divides 3696 without a remainder.

1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,33,42,44,48,56,66,77,84,88,112,132,154,168,176,231,264,308,336,462,528,616,924,1232,1848,3696

Greatest Common Factor

We found the factors and prime factorization of 3690 and 3696. The biggest common factor number is the GCF number.
So the greatest common factor 3690 and 3696 is 6.

Also check out the Least Common Multiple of 3690 and 3696

Properties of GCF 3690 and 3696

(i) The GCF of 3690 and 3696 is associative

GCF of 3690 and 3696 = GCF of 3696 and 3690

Related Greatest Common Factor of 3690

Related Greatest Common Factor of 3696

Frequently Asked Questions on GCF of 3690 and 3696

1. What is the GCF of 3690 and 3696?

Answer: GCF of 3690 and 3696 is 6.

2. What are the Factors of 3690?

Answer: Factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690. There are 24 integers that are factors of 3690. The greatest factor of 3690 is 3690.

3. What are the Factors of 3696?

Answer: Factors of 3696 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696. There are 40 integers that are factors of 3696. The greatest factor of 3696 is 3696.

4. How to Find the GCF of 3690 and 3696?

Answer:

Greatest Common Factor of 3690 and 3696 = 6

Step 1: Find the prime factorization of 3690

3690 = 2 x 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 3696

3696 = 2 x 2 x 2 x 2 x 3 x 7 x 11

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 3690 and 3696 is 6