Greatest Common Factor of 3696 and 3699

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 3696, 3699 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3696 and 3699 is 3.

GCF(3696,3699) = 3

GCF of 3696 and 3699

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

GCF of:
and

Greatest Common Factor of 3696 and 3699

GCF of 3696 and 3699 is 3

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

Prime Factorization of 3699


3 3699
3 1233
3 411
137 137
1

Prime factors of 3699 are 3,137. Prime factorization of 3699 in exponential form is:

3699 = 33×1371

∴ So by taking common prime factors GCF of 3696 and 3699 is 3

Greatest Common Factor of 3696 and 3699 by matching factors method

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

Factors of 3699

List of positive integer factors of 3699 that divides 3699 without a remainder.

1,3,9,27,137,411,1233,3699

Greatest Common Factor

We found the factors and prime factorization of 3696 and 3699. The biggest common factor number is the GCF number.
So the greatest common factor 3696 and 3699 is 3.

Also check out the Least Common Multiple of 3696 and 3699

Properties of GCF 3696 and 3699

(i) The GCF of 3696 and 3699 is associative

GCF of 3696 and 3699 = GCF of 3699 and 3696

Related Greatest Common Factor of 3696

Related Greatest Common Factor of 3699

Frequently Asked Questions on GCF of 3696 and 3699

1. What is the GCF of 3696 and 3699?

Answer: GCF of 3696 and 3699 is 3.

2. 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.

3. What are the Factors of 3699?

Answer: Factors of 3699 are 1, 3, 9, 27, 137, 411, 1233, 3699. There are 8 integers that are factors of 3699. The greatest factor of 3699 is 3699.

4. How to Find the GCF of 3696 and 3699?

Answer:

Greatest Common Factor of 3696 and 3699 = 3

Step 1: Find the prime factorization of 3696

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

Step 2: Find the prime factorization of 3699

3699 = 3 x 3 x 3 x 137

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3696 and 3699 is 3