Greatest Common Factor of 3790 and 3798

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 3790, 3798 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3790 and 3798 is 2.

GCF(3790,3798) = 2

GCF of 3790 and 3798

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

GCF of:
and

Greatest Common Factor of 3790 and 3798

GCF of 3790 and 3798 is 2

Prime Factorization of 3790


2 3790
5 1895
379 379
1

Prime factors of 3790 are 2,5,379. Prime factorization of 3790 in exponential form is:

3790 = 21×51×3791

Prime Factorization of 3798


2 3798
3 1899
3 633
211 211
1

Prime factors of 3798 are 2,3,211. Prime factorization of 3798 in exponential form is:

3798 = 21×32×2111

∴ So by taking common prime factors GCF of 3790 and 3798 is 2

Greatest Common Factor of 3790 and 3798 by matching factors method

Factors of 3790

List of positive integer factors of 3790 that divides 3790 without a remainder.

1,2,5,10,379,758,1895,3790

Factors of 3798

List of positive integer factors of 3798 that divides 3798 without a remainder.

1,2,3,6,9,18,211,422,633,1266,1899,3798

Greatest Common Factor

We found the factors and prime factorization of 3790 and 3798. The biggest common factor number is the GCF number.
So the greatest common factor 3790 and 3798 is 2.

Also check out the Least Common Multiple of 3790 and 3798

Properties of GCF 3790 and 3798

(i) The GCF of 3790 and 3798 is associative

GCF of 3790 and 3798 = GCF of 3798 and 3790

Related Greatest Common Factor of 3790

Related Greatest Common Factor of 3798

Frequently Asked Questions on GCF of 3790 and 3798

1. What is the GCF of 3790 and 3798?

Answer: GCF of 3790 and 3798 is 2.

2. What are the Factors of 3790?

Answer: Factors of 3790 are 1, 2, 5, 10, 379, 758, 1895, 3790. There are 8 integers that are factors of 3790. The greatest factor of 3790 is 3790.

3. What are the Factors of 3798?

Answer: Factors of 3798 are 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798. There are 12 integers that are factors of 3798. The greatest factor of 3798 is 3798.

4. How to Find the GCF of 3790 and 3798?

Answer:

Greatest Common Factor of 3790 and 3798 = 2

Step 1: Find the prime factorization of 3790

3790 = 2 x 5 x 379

Step 2: Find the prime factorization of 3798

3798 = 2 x 3 x 3 x 211

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 3790 and 3798 is 2