Greatest Common Factor of 3873 and 3879

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 3873, 3879 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3873 and 3879 is 3.

GCF(3873,3879) = 3

GCF of 3873 and 3879

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

GCF of:
and

Greatest Common Factor of 3873 and 3879

GCF of 3873 and 3879 is 3

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

Prime Factorization of 3879


3 3879
3 1293
431 431
1

Prime factors of 3879 are 3,431. Prime factorization of 3879 in exponential form is:

3879 = 32×4311

∴ So by taking common prime factors GCF of 3873 and 3879 is 3

Greatest Common Factor of 3873 and 3879 by matching factors method

Factors of 3873

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

1,3,1291,3873

Factors of 3879

List of positive integer factors of 3879 that divides 3879 without a remainder.

1,3,9,431,1293,3879

Greatest Common Factor

We found the factors and prime factorization of 3873 and 3879. The biggest common factor number is the GCF number.
So the greatest common factor 3873 and 3879 is 3.

Also check out the Least Common Multiple of 3873 and 3879

Properties of GCF 3873 and 3879

(i) The GCF of 3873 and 3879 is associative

GCF of 3873 and 3879 = GCF of 3879 and 3873

Related Greatest Common Factor of 3873

Related Greatest Common Factor of 3879

Frequently Asked Questions on GCF of 3873 and 3879

1. What is the GCF of 3873 and 3879?

Answer: GCF of 3873 and 3879 is 3.

2. 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.

3. What are the Factors of 3879?

Answer: Factors of 3879 are 1, 3, 9, 431, 1293, 3879. There are 6 integers that are factors of 3879. The greatest factor of 3879 is 3879.

4. How to Find the GCF of 3873 and 3879?

Answer:

Greatest Common Factor of 3873 and 3879 = 3

Step 1: Find the prime factorization of 3873

3873 = 3 x 1291

Step 2: Find the prime factorization of 3879

3879 = 3 x 3 x 431

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3873 and 3879 is 3