Greatest Common Factor of 3872 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 3872, 3879 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3872 and 3879 is 1.

GCF(3872,3879) = 1

GCF of 3872 and 3879

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

GCF of:
and

Greatest Common Factor of 3872 and 3879

GCF of 3872 and 3879 is 1

Prime Factorization of 3872


2 3872
2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 3872 are 2,11. Prime factorization of 3872 in exponential form is:

3872 = 25×112

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 3872 and 3879 is 1

Greatest Common Factor of 3872 and 3879 by matching factors method

Factors of 3872

List of positive integer factors of 3872 that divides 3872 without a remainder.

1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872

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 3872 and 3879. The biggest common factor number is the GCF number.
So the greatest common factor 3872 and 3879 is 1.

Also check out the Least Common Multiple of 3872 and 3879

Properties of GCF 3872 and 3879

(i) The GCF of 3872 and 3879 is associative

GCF of 3872 and 3879 = GCF of 3879 and 3872

Related Greatest Common Factor of 3872

Related Greatest Common Factor of 3879

Frequently Asked Questions on GCF of 3872 and 3879

1. What is the GCF of 3872 and 3879?

Answer: GCF of 3872 and 3879 is 1.

2. What are the Factors of 3872?

Answer: Factors of 3872 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1936, 3872. There are 18 integers that are factors of 3872. The greatest factor of 3872 is 3872.

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 3872 and 3879?

Answer:

Greatest Common Factor of 3872 and 3879 = 1

Step 1: Find the prime factorization of 3872

3872 = 2 x 2 x 2 x 2 x 2 x 11 x 11

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 = = 1

Step 4: Therefore, the greatest common factor of 3872 and 3879 is 1