Greatest Common Factor of 3699 and 3705

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 3699, 3705 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3699 and 3705 is 3.

GCF(3699,3705) = 3

GCF of 3699 and 3705

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

GCF of:
and

Greatest Common Factor of 3699 and 3705

GCF of 3699 and 3705 is 3

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

Prime Factorization of 3705


3 3705
5 1235
13 247
19 19
1

Prime factors of 3705 are 3,5,13,19. Prime factorization of 3705 in exponential form is:

3705 = 31×51×131×191

∴ So by taking common prime factors GCF of 3699 and 3705 is 3

Greatest Common Factor of 3699 and 3705 by matching factors method

Factors of 3699

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

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

Factors of 3705

List of positive integer factors of 3705 that divides 3705 without a remainder.

1,3,5,13,15,19,39,57,65,95,195,247,285,741,1235,3705

Greatest Common Factor

We found the factors and prime factorization of 3699 and 3705. The biggest common factor number is the GCF number.
So the greatest common factor 3699 and 3705 is 3.

Also check out the Least Common Multiple of 3699 and 3705

Properties of GCF 3699 and 3705

(i) The GCF of 3699 and 3705 is associative

GCF of 3699 and 3705 = GCF of 3705 and 3699

Related Greatest Common Factor of 3699

Related Greatest Common Factor of 3705

Frequently Asked Questions on GCF of 3699 and 3705

1. What is the GCF of 3699 and 3705?

Answer: GCF of 3699 and 3705 is 3.

2. 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.

3. What are the Factors of 3705?

Answer: Factors of 3705 are 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705. There are 16 integers that are factors of 3705. The greatest factor of 3705 is 3705.

4. How to Find the GCF of 3699 and 3705?

Answer:

Greatest Common Factor of 3699 and 3705 = 3

Step 1: Find the prime factorization of 3699

3699 = 3 x 3 x 3 x 137

Step 2: Find the prime factorization of 3705

3705 = 3 x 5 x 13 x 19

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 3699 and 3705 is 3