Greatest Common Factor of 3874 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 3874, 3880 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3874 and 3880 is 2.

GCF(3874,3880) = 2

GCF of 3874 and 3880

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

GCF of:
and

Greatest Common Factor of 3874 and 3880

GCF of 3874 and 3880 is 2

Prime Factorization of 3874


2 3874
13 1937
149 149
1

Prime factors of 3874 are 2,13,149. Prime factorization of 3874 in exponential form is:

3874 = 21×131×1491

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 3874 and 3880 is 2

Greatest Common Factor of 3874 and 3880 by matching factors method

Factors of 3874

List of positive integer factors of 3874 that divides 3874 without a remainder.

1,2,13,26,149,298,1937,3874

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 3874 and 3880. The biggest common factor number is the GCF number.
So the greatest common factor 3874 and 3880 is 2.

Also check out the Least Common Multiple of 3874 and 3880

Properties of GCF 3874 and 3880

(i) The GCF of 3874 and 3880 is associative

GCF of 3874 and 3880 = GCF of 3880 and 3874

Related Greatest Common Factor of 3874

Related Greatest Common Factor of 3880

Frequently Asked Questions on GCF of 3874 and 3880

1. What is the GCF of 3874 and 3880?

Answer: GCF of 3874 and 3880 is 2.

2. What are the Factors of 3874?

Answer: Factors of 3874 are 1, 2, 13, 26, 149, 298, 1937, 3874. There are 8 integers that are factors of 3874. The greatest factor of 3874 is 3874.

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 3874 and 3880?

Answer:

Greatest Common Factor of 3874 and 3880 = 2

Step 1: Find the prime factorization of 3874

3874 = 2 x 13 x 149

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

Step 4: Therefore, the greatest common factor of 3874 and 3880 is 2