Greatest Common Factor of 3765 and 3770

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 3765, 3770 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3765 and 3770 is 5.

GCF(3765,3770) = 5

GCF of 3765 and 3770

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

GCF of:
and

Greatest Common Factor of 3765 and 3770

GCF of 3765 and 3770 is 5

Prime Factorization of 3765


3 3765
5 1255
251 251
1

Prime factors of 3765 are 3,5,251. Prime factorization of 3765 in exponential form is:

3765 = 31×51×2511

Prime Factorization of 3770


2 3770
5 1885
13 377
29 29
1

Prime factors of 3770 are 2,5,13,29. Prime factorization of 3770 in exponential form is:

3770 = 21×51×131×291

∴ So by taking common prime factors GCF of 3765 and 3770 is 5

Greatest Common Factor of 3765 and 3770 by matching factors method

Factors of 3765

List of positive integer factors of 3765 that divides 3765 without a remainder.

1,3,5,15,251,753,1255,3765

Factors of 3770

List of positive integer factors of 3770 that divides 3770 without a remainder.

1,2,5,10,13,26,29,58,65,130,145,290,377,754,1885,3770

Greatest Common Factor

We found the factors and prime factorization of 3765 and 3770. The biggest common factor number is the GCF number.
So the greatest common factor 3765 and 3770 is 5.

Also check out the Least Common Multiple of 3765 and 3770

Properties of GCF 3765 and 3770

(i) The GCF of 3765 and 3770 is associative

GCF of 3765 and 3770 = GCF of 3770 and 3765

Related Greatest Common Factor of 3765

Related Greatest Common Factor of 3770

Frequently Asked Questions on GCF of 3765 and 3770

1. What is the GCF of 3765 and 3770?

Answer: GCF of 3765 and 3770 is 5.

2. What are the Factors of 3765?

Answer: Factors of 3765 are 1, 3, 5, 15, 251, 753, 1255, 3765. There are 8 integers that are factors of 3765. The greatest factor of 3765 is 3765.

3. What are the Factors of 3770?

Answer: Factors of 3770 are 1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770. There are 16 integers that are factors of 3770. The greatest factor of 3770 is 3770.

4. How to Find the GCF of 3765 and 3770?

Answer:

Greatest Common Factor of 3765 and 3770 = 5

Step 1: Find the prime factorization of 3765

3765 = 3 x 5 x 251

Step 2: Find the prime factorization of 3770

3770 = 2 x 5 x 13 x 29

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 3765 and 3770 is 5