Greatest Common Factor of 3700 and 3706

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 3700, 3706 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3700 and 3706 is 2.

GCF(3700,3706) = 2

GCF of 3700 and 3706

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

GCF of:
and

Greatest Common Factor of 3700 and 3706

GCF of 3700 and 3706 is 2

Prime Factorization of 3700


2 3700
2 1850
5 925
5 185
37 37
1

Prime factors of 3700 are 2,5,37. Prime factorization of 3700 in exponential form is:

3700 = 22×52×371

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

∴ So by taking common prime factors GCF of 3700 and 3706 is 2

Greatest Common Factor of 3700 and 3706 by matching factors method

Factors of 3700

List of positive integer factors of 3700 that divides 3700 without a remainder.

1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700

Factors of 3706

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

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

Greatest Common Factor

We found the factors and prime factorization of 3700 and 3706. The biggest common factor number is the GCF number.
So the greatest common factor 3700 and 3706 is 2.

Also check out the Least Common Multiple of 3700 and 3706

Properties of GCF 3700 and 3706

(i) The GCF of 3700 and 3706 is associative

GCF of 3700 and 3706 = GCF of 3706 and 3700

Related Greatest Common Factor of 3700

Related Greatest Common Factor of 3706

Frequently Asked Questions on GCF of 3700 and 3706

1. What is the GCF of 3700 and 3706?

Answer: GCF of 3700 and 3706 is 2.

2. What are the Factors of 3700?

Answer: Factors of 3700 are 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700. There are 18 integers that are factors of 3700. The greatest factor of 3700 is 3700.

3. 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.

4. How to Find the GCF of 3700 and 3706?

Answer:

Greatest Common Factor of 3700 and 3706 = 2

Step 1: Find the prime factorization of 3700

3700 = 2 x 2 x 5 x 5 x 37

Step 2: Find the prime factorization of 3706

3706 = 2 x 17 x 109

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 3700 and 3706 is 2