Greatest Common Factor of 3862 and 3868

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 3862, 3868 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3862 and 3868 is 2.

GCF(3862,3868) = 2

GCF of 3862 and 3868

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

GCF of:
and

Greatest Common Factor of 3862 and 3868

GCF of 3862 and 3868 is 2

Prime Factorization of 3862


2 3862
1931 1931
1

Prime factors of 3862 are 2,1931. Prime factorization of 3862 in exponential form is:

3862 = 21×19311

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

∴ So by taking common prime factors GCF of 3862 and 3868 is 2

Greatest Common Factor of 3862 and 3868 by matching factors method

Factors of 3862

List of positive integer factors of 3862 that divides 3862 without a remainder.

1,2,1931,3862

Factors of 3868

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

1,2,4,967,1934,3868

Greatest Common Factor

We found the factors and prime factorization of 3862 and 3868. The biggest common factor number is the GCF number.
So the greatest common factor 3862 and 3868 is 2.

Also check out the Least Common Multiple of 3862 and 3868

Properties of GCF 3862 and 3868

(i) The GCF of 3862 and 3868 is associative

GCF of 3862 and 3868 = GCF of 3868 and 3862

Related Greatest Common Factor of 3862

Related Greatest Common Factor of 3868

Frequently Asked Questions on GCF of 3862 and 3868

1. What is the GCF of 3862 and 3868?

Answer: GCF of 3862 and 3868 is 2.

2. What are the Factors of 3862?

Answer: Factors of 3862 are 1, 2, 1931, 3862. There are 4 integers that are factors of 3862. The greatest factor of 3862 is 3862.

3. 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.

4. How to Find the GCF of 3862 and 3868?

Answer:

Greatest Common Factor of 3862 and 3868 = 2

Step 1: Find the prime factorization of 3862

3862 = 2 x 1931

Step 2: Find the prime factorization of 3868

3868 = 2 x 2 x 967

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 3862 and 3868 is 2