Greatest Common Factor of 3770 and 3775

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 3770, 3775 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3770 and 3775 is 5.

GCF(3770,3775) = 5

GCF of 3770 and 3775

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

GCF of:
and

Greatest Common Factor of 3770 and 3775

GCF of 3770 and 3775 is 5

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

Prime Factorization of 3775


5 3775
5 755
151 151
1

Prime factors of 3775 are 5,151. Prime factorization of 3775 in exponential form is:

3775 = 52×1511

∴ So by taking common prime factors GCF of 3770 and 3775 is 5

Greatest Common Factor of 3770 and 3775 by matching factors method

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

Factors of 3775

List of positive integer factors of 3775 that divides 3775 without a remainder.

1,5,25,151,755,3775

Greatest Common Factor

We found the factors and prime factorization of 3770 and 3775. The biggest common factor number is the GCF number.
So the greatest common factor 3770 and 3775 is 5.

Also check out the Least Common Multiple of 3770 and 3775

Properties of GCF 3770 and 3775

(i) The GCF of 3770 and 3775 is associative

GCF of 3770 and 3775 = GCF of 3775 and 3770

Related Greatest Common Factor of 3770

Related Greatest Common Factor of 3775

Frequently Asked Questions on GCF of 3770 and 3775

1. What is the GCF of 3770 and 3775?

Answer: GCF of 3770 and 3775 is 5.

2. 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.

3. What are the Factors of 3775?

Answer: Factors of 3775 are 1, 5, 25, 151, 755, 3775. There are 6 integers that are factors of 3775. The greatest factor of 3775 is 3775.

4. How to Find the GCF of 3770 and 3775?

Answer:

Greatest Common Factor of 3770 and 3775 = 5

Step 1: Find the prime factorization of 3770

3770 = 2 x 5 x 13 x 29

Step 2: Find the prime factorization of 3775

3775 = 5 x 5 x 151

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 3770 and 3775 is 5