Greatest Common Factor of 3785 and 3790

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 3785, 3790 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3785 and 3790 is 5.

GCF(3785,3790) = 5

GCF of 3785 and 3790

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

GCF of:
and

Greatest Common Factor of 3785 and 3790

GCF of 3785 and 3790 is 5

Prime Factorization of 3785


5 3785
757 757
1

Prime factors of 3785 are 5,757. Prime factorization of 3785 in exponential form is:

3785 = 51×7571

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

∴ So by taking common prime factors GCF of 3785 and 3790 is 5

Greatest Common Factor of 3785 and 3790 by matching factors method

Factors of 3785

List of positive integer factors of 3785 that divides 3785 without a remainder.

1,5,757,3785

Factors of 3790

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

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

Greatest Common Factor

We found the factors and prime factorization of 3785 and 3790. The biggest common factor number is the GCF number.
So the greatest common factor 3785 and 3790 is 5.

Also check out the Least Common Multiple of 3785 and 3790

Properties of GCF 3785 and 3790

(i) The GCF of 3785 and 3790 is associative

GCF of 3785 and 3790 = GCF of 3790 and 3785

Related Greatest Common Factor of 3785

Related Greatest Common Factor of 3790

Frequently Asked Questions on GCF of 3785 and 3790

1. What is the GCF of 3785 and 3790?

Answer: GCF of 3785 and 3790 is 5.

2. What are the Factors of 3785?

Answer: Factors of 3785 are 1, 5, 757, 3785. There are 4 integers that are factors of 3785. The greatest factor of 3785 is 3785.

3. 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.

4. How to Find the GCF of 3785 and 3790?

Answer:

Greatest Common Factor of 3785 and 3790 = 5

Step 1: Find the prime factorization of 3785

3785 = 5 x 757

Step 2: Find the prime factorization of 3790

3790 = 2 x 5 x 379

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3785 and 3790 is 5