Greatest Common Factor of 3875 and 3880

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 3875, 3880 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3875 and 3880 is 5.

GCF(3875,3880) = 5

GCF of 3875 and 3880

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

GCF of:
and

Greatest Common Factor of 3875 and 3880

GCF of 3875 and 3880 is 5

Prime Factorization of 3875


5 3875
5 775
5 155
31 31
1

Prime factors of 3875 are 5,31. Prime factorization of 3875 in exponential form is:

3875 = 53×311

Prime Factorization of 3880


2 3880
2 1940
2 970
5 485
97 97
1

Prime factors of 3880 are 2,5,97. Prime factorization of 3880 in exponential form is:

3880 = 23×51×971

∴ So by taking common prime factors GCF of 3875 and 3880 is 5

Greatest Common Factor of 3875 and 3880 by matching factors method

Factors of 3875

List of positive integer factors of 3875 that divides 3875 without a remainder.

1,5,25,31,125,155,775,3875

Factors of 3880

List of positive integer factors of 3880 that divides 3880 without a remainder.

1,2,4,5,8,10,20,40,97,194,388,485,776,970,1940,3880

Greatest Common Factor

We found the factors and prime factorization of 3875 and 3880. The biggest common factor number is the GCF number.
So the greatest common factor 3875 and 3880 is 5.

Also check out the Least Common Multiple of 3875 and 3880

Properties of GCF 3875 and 3880

(i) The GCF of 3875 and 3880 is associative

GCF of 3875 and 3880 = GCF of 3880 and 3875

Related Greatest Common Factor of 3875

Related Greatest Common Factor of 3880

Frequently Asked Questions on GCF of 3875 and 3880

1. What is the GCF of 3875 and 3880?

Answer: GCF of 3875 and 3880 is 5.

2. What are the Factors of 3875?

Answer: Factors of 3875 are 1, 5, 25, 31, 125, 155, 775, 3875. There are 8 integers that are factors of 3875. The greatest factor of 3875 is 3875.

3. What are the Factors of 3880?

Answer: Factors of 3880 are 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880. There are 16 integers that are factors of 3880. The greatest factor of 3880 is 3880.

4. How to Find the GCF of 3875 and 3880?

Answer:

Greatest Common Factor of 3875 and 3880 = 5

Step 1: Find the prime factorization of 3875

3875 = 5 x 5 x 5 x 31

Step 2: Find the prime factorization of 3880

3880 = 2 x 2 x 2 x 5 x 97

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 3875 and 3880 is 5