Greatest Common Factor of 3706 and 3707

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, 3707 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3706 and 3707 is 1.

GCF(3706,3707) = 1

GCF of 3706 and 3707

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

GCF of:
and

Greatest Common Factor of 3706 and 3707

GCF of 3706 and 3707 is 1

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 3707


11 3707
337 337
1

Prime factors of 3707 are 11,337. Prime factorization of 3707 in exponential form is:

3707 = 111×3371

∴ So by taking common prime factors GCF of 3706 and 3707 is 1

Greatest Common Factor of 3706 and 3707 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 3707

List of positive integer factors of 3707 that divides 3707 without a remainder.

1,11,337,3707

Greatest Common Factor

We found the factors and prime factorization of 3706 and 3707. The biggest common factor number is the GCF number.
So the greatest common factor 3706 and 3707 is 1.

Also check out the Least Common Multiple of 3706 and 3707

Properties of GCF 3706 and 3707

(i) The GCF of 3706 and 3707 is associative

GCF of 3706 and 3707 = GCF of 3707 and 3706

Related Greatest Common Factor of 3706

Related Greatest Common Factor of 3707

Frequently Asked Questions on GCF of 3706 and 3707

1. What is the GCF of 3706 and 3707?

Answer: GCF of 3706 and 3707 is 1.

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 3707?

Answer: Factors of 3707 are 1, 11, 337, 3707. There are 4 integers that are factors of 3707. The greatest factor of 3707 is 3707.

4. How to Find the GCF of 3706 and 3707?

Answer:

Greatest Common Factor of 3706 and 3707 = 1

Step 1: Find the prime factorization of 3706

3706 = 2 x 17 x 109

Step 2: Find the prime factorization of 3707

3707 = 11 x 337

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3706 and 3707 is 1