Greatest Common Factor of 3705 and 3708

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 3705, 3708 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3705 and 3708 is 3.

GCF(3705,3708) = 3

GCF of 3705 and 3708

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

GCF of:
and

Greatest Common Factor of 3705 and 3708

GCF of 3705 and 3708 is 3

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

Prime Factorization of 3708


2 3708
2 1854
3 927
3 309
103 103
1

Prime factors of 3708 are 2,3,103. Prime factorization of 3708 in exponential form is:

3708 = 22×32×1031

∴ So by taking common prime factors GCF of 3705 and 3708 is 3

Greatest Common Factor of 3705 and 3708 by matching factors method

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

Factors of 3708

List of positive integer factors of 3708 that divides 3708 without a remainder.

1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708

Greatest Common Factor

We found the factors and prime factorization of 3705 and 3708. The biggest common factor number is the GCF number.
So the greatest common factor 3705 and 3708 is 3.

Also check out the Least Common Multiple of 3705 and 3708

Properties of GCF 3705 and 3708

(i) The GCF of 3705 and 3708 is associative

GCF of 3705 and 3708 = GCF of 3708 and 3705

Related Greatest Common Factor of 3705

Related Greatest Common Factor of 3708

Frequently Asked Questions on GCF of 3705 and 3708

1. What is the GCF of 3705 and 3708?

Answer: GCF of 3705 and 3708 is 3.

2. 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.

3. What are the Factors of 3708?

Answer: Factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708. There are 18 integers that are factors of 3708. The greatest factor of 3708 is 3708.

4. How to Find the GCF of 3705 and 3708?

Answer:

Greatest Common Factor of 3705 and 3708 = 3

Step 1: Find the prime factorization of 3705

3705 = 3 x 5 x 13 x 19

Step 2: Find the prime factorization of 3708

3708 = 2 x 2 x 3 x 3 x 103

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 3705 and 3708 is 3