Greatest Common Factor of 3703 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 3703, 3710 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3703 and 3710 is 7.

GCF(3703,3710) = 7

GCF of 3703 and 3710

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

GCF of:
and

Greatest Common Factor of 3703 and 3710

GCF of 3703 and 3710 is 7

Prime Factorization of 3703


7 3703
23 529
23 23
1

Prime factors of 3703 are 7,23. Prime factorization of 3703 in exponential form is:

3703 = 71×232

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 3703 and 3710 is 7

Greatest Common Factor of 3703 and 3710 by matching factors method

Factors of 3703

List of positive integer factors of 3703 that divides 3703 without a remainder.

1,7,23,161,529,3703

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 3703 and 3710. The biggest common factor number is the GCF number.
So the greatest common factor 3703 and 3710 is 7.

Also check out the Least Common Multiple of 3703 and 3710

Properties of GCF 3703 and 3710

(i) The GCF of 3703 and 3710 is associative

GCF of 3703 and 3710 = GCF of 3710 and 3703

Related Greatest Common Factor of 3703

Related Greatest Common Factor of 3710

Frequently Asked Questions on GCF of 3703 and 3710

1. What is the GCF of 3703 and 3710?

Answer: GCF of 3703 and 3710 is 7.

2. What are the Factors of 3703?

Answer: Factors of 3703 are 1, 7, 23, 161, 529, 3703. There are 6 integers that are factors of 3703. The greatest factor of 3703 is 3703.

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 3703 and 3710?

Answer:

Greatest Common Factor of 3703 and 3710 = 7

Step 1: Find the prime factorization of 3703

3703 = 7 x 23 x 23

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 = 7

Step 4: Therefore, the greatest common factor of 3703 and 3710 is 7