Greatest Common Factor of 3868 and 3876

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 3868, 3876 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3868 and 3876 is 4.

GCF(3868,3876) = 4

GCF of 3868 and 3876

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

GCF of:
and

Greatest Common Factor of 3868 and 3876

GCF of 3868 and 3876 is 4

Prime Factorization of 3868


2 3868
2 1934
967 967
1

Prime factors of 3868 are 2,967. Prime factorization of 3868 in exponential form is:

3868 = 22×9671

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

∴ So by taking common prime factors GCF of 3868 and 3876 is 4

Greatest Common Factor of 3868 and 3876 by matching factors method

Factors of 3868

List of positive integer factors of 3868 that divides 3868 without a remainder.

1,2,4,967,1934,3868

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

Greatest Common Factor

We found the factors and prime factorization of 3868 and 3876. The biggest common factor number is the GCF number.
So the greatest common factor 3868 and 3876 is 4.

Also check out the Least Common Multiple of 3868 and 3876

Properties of GCF 3868 and 3876

(i) The GCF of 3868 and 3876 is associative

GCF of 3868 and 3876 = GCF of 3876 and 3868

Related Greatest Common Factor of 3868

Related Greatest Common Factor of 3876

Frequently Asked Questions on GCF of 3868 and 3876

1. What is the GCF of 3868 and 3876?

Answer: GCF of 3868 and 3876 is 4.

2. What are the Factors of 3868?

Answer: Factors of 3868 are 1, 2, 4, 967, 1934, 3868. There are 6 integers that are factors of 3868. The greatest factor of 3868 is 3868.

3. 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.

4. How to Find the GCF of 3868 and 3876?

Answer:

Greatest Common Factor of 3868 and 3876 = 4

Step 1: Find the prime factorization of 3868

3868 = 2 x 2 x 967

Step 2: Find the prime factorization of 3876

3876 = 2 x 2 x 3 x 17 x 19

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 3868 and 3876 is 4