Greatest Common Factor of 3706 and 3714

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 3706, 3714 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3706 and 3714 is 2.

GCF(3706,3714) = 2

GCF of 3706 and 3714

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

GCF of:
and

Greatest Common Factor of 3706 and 3714

GCF of 3706 and 3714 is 2

Prime Factorization of 3706


2 3706
17 1853
109 109
1

Prime factors of 3706 are 2,17,109. Prime factorization of 3706 in exponential form is:

3706 = 21×171×1091

Prime Factorization of 3714


2 3714
3 1857
619 619
1

Prime factors of 3714 are 2,3,619. Prime factorization of 3714 in exponential form is:

3714 = 21×31×6191

∴ So by taking common prime factors GCF of 3706 and 3714 is 2

Greatest Common Factor of 3706 and 3714 by matching factors method

Factors of 3706

List of positive integer factors of 3706 that divides 3706 without a remainder.

1,2,17,34,109,218,1853,3706

Factors of 3714

List of positive integer factors of 3714 that divides 3714 without a remainder.

1,2,3,6,619,1238,1857,3714

Greatest Common Factor

We found the factors and prime factorization of 3706 and 3714. The biggest common factor number is the GCF number.
So the greatest common factor 3706 and 3714 is 2.

Also check out the Least Common Multiple of 3706 and 3714

Properties of GCF 3706 and 3714

(i) The GCF of 3706 and 3714 is associative

GCF of 3706 and 3714 = GCF of 3714 and 3706

Related Greatest Common Factor of 3706

Related Greatest Common Factor of 3714

Frequently Asked Questions on GCF of 3706 and 3714

1. What is the GCF of 3706 and 3714?

Answer: GCF of 3706 and 3714 is 2.

2. What are the Factors of 3706?

Answer: Factors of 3706 are 1, 2, 17, 34, 109, 218, 1853, 3706. There are 8 integers that are factors of 3706. The greatest factor of 3706 is 3706.

3. What are the Factors of 3714?

Answer: Factors of 3714 are 1, 2, 3, 6, 619, 1238, 1857, 3714. There are 8 integers that are factors of 3714. The greatest factor of 3714 is 3714.

4. How to Find the GCF of 3706 and 3714?

Answer:

Greatest Common Factor of 3706 and 3714 = 2

Step 1: Find the prime factorization of 3706

3706 = 2 x 17 x 109

Step 2: Find the prime factorization of 3714

3714 = 2 x 3 x 619

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 3706 and 3714 is 2