Greatest Common Factor of 3868 and 3874

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, 3874 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3868 and 3874 is 2.

GCF(3868,3874) = 2

GCF of 3868 and 3874

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

GCF of:
and

Greatest Common Factor of 3868 and 3874

GCF of 3868 and 3874 is 2

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 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

∴ So by taking common prime factors GCF of 3868 and 3874 is 2

Greatest Common Factor of 3868 and 3874 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 3874

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

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

Greatest Common Factor

We found the factors and prime factorization of 3868 and 3874. The biggest common factor number is the GCF number.
So the greatest common factor 3868 and 3874 is 2.

Also check out the Least Common Multiple of 3868 and 3874

Properties of GCF 3868 and 3874

(i) The GCF of 3868 and 3874 is associative

GCF of 3868 and 3874 = GCF of 3874 and 3868

Related Greatest Common Factor of 3868

Related Greatest Common Factor of 3874

Frequently Asked Questions on GCF of 3868 and 3874

1. What is the GCF of 3868 and 3874?

Answer: GCF of 3868 and 3874 is 2.

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 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.

4. How to Find the GCF of 3868 and 3874?

Answer:

Greatest Common Factor of 3868 and 3874 = 2

Step 1: Find the prime factorization of 3868

3868 = 2 x 2 x 967

Step 2: Find the prime factorization of 3874

3874 = 2 x 13 x 149

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 3868 and 3874 is 2