Greatest Common Factor of 3872 and 3875

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, 3875 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3872 and 3875 is 1.

GCF(3872,3875) = 1

GCF of 3872 and 3875

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

GCF of:
and

Greatest Common Factor of 3872 and 3875

GCF of 3872 and 3875 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 3875


5 3875
5 775
5 155
31 31
1

Prime factors of 3875 are 5,31. Prime factorization of 3875 in exponential form is:

3875 = 53×311

∴ So by taking common prime factors GCF of 3872 and 3875 is 1

Greatest Common Factor of 3872 and 3875 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 3875

List of positive integer factors of 3875 that divides 3875 without a remainder.

1,5,25,31,125,155,775,3875

Greatest Common Factor

We found the factors and prime factorization of 3872 and 3875. The biggest common factor number is the GCF number.
So the greatest common factor 3872 and 3875 is 1.

Also check out the Least Common Multiple of 3872 and 3875

Properties of GCF 3872 and 3875

(i) The GCF of 3872 and 3875 is associative

GCF of 3872 and 3875 = GCF of 3875 and 3872

Related Greatest Common Factor of 3872

Related Greatest Common Factor of 3875

Frequently Asked Questions on GCF of 3872 and 3875

1. What is the GCF of 3872 and 3875?

Answer: GCF of 3872 and 3875 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 3875?

Answer: Factors of 3875 are 1, 5, 25, 31, 125, 155, 775, 3875. There are 8 integers that are factors of 3875. The greatest factor of 3875 is 3875.

4. How to Find the GCF of 3872 and 3875?

Answer:

Greatest Common Factor of 3872 and 3875 = 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 3875

3875 = 5 x 5 x 5 x 31

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 3875 is 1