Greatest Common Factor of 3872 and 3877

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, 3877 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3872 and 3877 is 1.

GCF(3872,3877) = 1

GCF of 3872 and 3877

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

GCF of:
and

Greatest Common Factor of 3872 and 3877

GCF of 3872 and 3877 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 3877


3877 3877
1

Prime factors of 3877 are 3877. Prime factorization of 3877 in exponential form is:

3877 = 38771

∴ So by taking common prime factors GCF of 3872 and 3877 is 1

Greatest Common Factor of 3872 and 3877 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 3877

List of positive integer factors of 3877 that divides 3877 without a remainder.

1,3877

Greatest Common Factor

We found the factors and prime factorization of 3872 and 3877. The biggest common factor number is the GCF number.
So the greatest common factor 3872 and 3877 is 1.

Also check out the Least Common Multiple of 3872 and 3877

Properties of GCF 3872 and 3877

(i) The GCF of 3872 and 3877 is associative

GCF of 3872 and 3877 = GCF of 3877 and 3872

Related Greatest Common Factor of 3872

Related Greatest Common Factor of 3877

Frequently Asked Questions on GCF of 3872 and 3877

1. What is the GCF of 3872 and 3877?

Answer: GCF of 3872 and 3877 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 3877?

Answer: Factors of 3877 are 1, 3877. There are 2 integers that are factors of 3877. The greatest factor of 3877 is 3877.

4. How to Find the GCF of 3872 and 3877?

Answer:

Greatest Common Factor of 3872 and 3877 = 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 3877

3877 = 3877

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 3877 is 1