Greatest Common Factor of 1881 and 1887

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 1881, 1887 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1881 and 1887 is 3.

GCF(1881,1887) = 3

GCF of 1881 and 1887

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

GCF of:
and

Greatest Common Factor of 1881 and 1887

GCF of 1881 and 1887 is 3

Prime Factorization of 1881


3 1881
3 627
11 209
19 19
1

Prime factors of 1881 are 3,11,19. Prime factorization of 1881 in exponential form is:

1881 = 32×111×191

Prime Factorization of 1887


3 1887
17 629
37 37
1

Prime factors of 1887 are 3,17,37. Prime factorization of 1887 in exponential form is:

1887 = 31×171×371

∴ So by taking common prime factors GCF of 1881 and 1887 is 3

Greatest Common Factor of 1881 and 1887 by matching factors method

Factors of 1881

List of positive integer factors of 1881 that divides 1881 without a remainder.

1,3,9,11,19,33,57,99,171,209,627,1881

Factors of 1887

List of positive integer factors of 1887 that divides 1887 without a remainder.

1,3,17,37,51,111,629,1887

Greatest Common Factor

We found the factors and prime factorization of 1881 and 1887. The biggest common factor number is the GCF number.
So the greatest common factor 1881 and 1887 is 3.

Also check out the Least Common Multiple of 1881 and 1887

Properties of GCF 1881 and 1887

(i) The GCF of 1881 and 1887 is associative

GCF of 1881 and 1887 = GCF of 1887 and 1881

Related Greatest Common Factor of 1881

Related Greatest Common Factor of 1887

Frequently Asked Questions on GCF of 1881 and 1887

1. What is the GCF of 1881 and 1887?

Answer: GCF of 1881 and 1887 is 3.

2. What are the Factors of 1881?

Answer: Factors of 1881 are 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881. There are 12 integers that are factors of 1881. The greatest factor of 1881 is 1881.

3. What are the Factors of 1887?

Answer: Factors of 1887 are 1, 3, 17, 37, 51, 111, 629, 1887. There are 8 integers that are factors of 1887. The greatest factor of 1887 is 1887.

4. How to Find the GCF of 1881 and 1887?

Answer:

Greatest Common Factor of 1881 and 1887 = 3

Step 1: Find the prime factorization of 1881

1881 = 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 1887

1887 = 3 x 17 x 37

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 1881 and 1887 is 3