Greatest Common Factor of 3876 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 3876, 3880 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3876 and 3880 is 4.

GCF(3876,3880) = 4

GCF of 3876 and 3880

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

GCF of:
and

Greatest Common Factor of 3876 and 3880

GCF of 3876 and 3880 is 4

Prime Factorization of 3876


2 3876
2 1938
3 969
17 323
19 19
1

Prime factors of 3876 are 2,3,17,19. Prime factorization of 3876 in exponential form is:

3876 = 22×31×171×191

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 3876 and 3880 is 4

Greatest Common Factor of 3876 and 3880 by matching factors method

Factors of 3876

List of positive integer factors of 3876 that divides 3876 without a remainder.

1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876

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 3876 and 3880. The biggest common factor number is the GCF number.
So the greatest common factor 3876 and 3880 is 4.

Also check out the Least Common Multiple of 3876 and 3880

Properties of GCF 3876 and 3880

(i) The GCF of 3876 and 3880 is associative

GCF of 3876 and 3880 = GCF of 3880 and 3876

Related Greatest Common Factor of 3876

Related Greatest Common Factor of 3880

Frequently Asked Questions on GCF of 3876 and 3880

1. What is the GCF of 3876 and 3880?

Answer: GCF of 3876 and 3880 is 4.

2. What are the Factors of 3876?

Answer: Factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876. There are 24 integers that are factors of 3876. The greatest factor of 3876 is 3876.

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 3876 and 3880?

Answer:

Greatest Common Factor of 3876 and 3880 = 4

Step 1: Find the prime factorization of 3876

3876 = 2 x 2 x 3 x 17 x 19

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3876 and 3880 is 4