Greatest Common Factor of 3868 and 3873

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, 3873 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3868 and 3873 is 1.

GCF(3868,3873) = 1

GCF of 3868 and 3873

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

GCF of:
and

Greatest Common Factor of 3868 and 3873

GCF of 3868 and 3873 is 1

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 3873


3 3873
1291 1291
1

Prime factors of 3873 are 3,1291. Prime factorization of 3873 in exponential form is:

3873 = 31×12911

∴ So by taking common prime factors GCF of 3868 and 3873 is 1

Greatest Common Factor of 3868 and 3873 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 3873

List of positive integer factors of 3873 that divides 3873 without a remainder.

1,3,1291,3873

Greatest Common Factor

We found the factors and prime factorization of 3868 and 3873. The biggest common factor number is the GCF number.
So the greatest common factor 3868 and 3873 is 1.

Also check out the Least Common Multiple of 3868 and 3873

Properties of GCF 3868 and 3873

(i) The GCF of 3868 and 3873 is associative

GCF of 3868 and 3873 = GCF of 3873 and 3868

Frequently Asked Questions on GCF of 3868 and 3873

1. What is the GCF of 3868 and 3873?

Answer: GCF of 3868 and 3873 is 1.

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 3873?

Answer: Factors of 3873 are 1, 3, 1291, 3873. There are 4 integers that are factors of 3873. The greatest factor of 3873 is 3873.

4. How to Find the GCF of 3868 and 3873?

Answer:

Greatest Common Factor of 3868 and 3873 = 1

Step 1: Find the prime factorization of 3868

3868 = 2 x 2 x 967

Step 2: Find the prime factorization of 3873

3873 = 3 x 1291

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 3868 and 3873 is 1