Greatest Common Factor of 3708 and 3710

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 3708, 3710 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3708 and 3710 is 2.

GCF(3708,3710) = 2

GCF of 3708 and 3710

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

GCF of:
and

Greatest Common Factor of 3708 and 3710

GCF of 3708 and 3710 is 2

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

Prime Factorization of 3710


2 3710
5 1855
7 371
53 53
1

Prime factors of 3710 are 2,5,7,53. Prime factorization of 3710 in exponential form is:

3710 = 21×51×71×531

∴ So by taking common prime factors GCF of 3708 and 3710 is 2

Greatest Common Factor of 3708 and 3710 by matching factors method

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

Factors of 3710

List of positive integer factors of 3710 that divides 3710 without a remainder.

1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710

Greatest Common Factor

We found the factors and prime factorization of 3708 and 3710. The biggest common factor number is the GCF number.
So the greatest common factor 3708 and 3710 is 2.

Also check out the Least Common Multiple of 3708 and 3710

Properties of GCF 3708 and 3710

(i) The GCF of 3708 and 3710 is associative

GCF of 3708 and 3710 = GCF of 3710 and 3708

Related Greatest Common Factor of 3708

Related Greatest Common Factor of 3710

Frequently Asked Questions on GCF of 3708 and 3710

1. What is the GCF of 3708 and 3710?

Answer: GCF of 3708 and 3710 is 2.

2. 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.

3. What are the Factors of 3710?

Answer: Factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710. There are 16 integers that are factors of 3710. The greatest factor of 3710 is 3710.

4. How to Find the GCF of 3708 and 3710?

Answer:

Greatest Common Factor of 3708 and 3710 = 2

Step 1: Find the prime factorization of 3708

3708 = 2 x 2 x 3 x 3 x 103

Step 2: Find the prime factorization of 3710

3710 = 2 x 5 x 7 x 53

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3708 and 3710 is 2