What is the Greatest Common Factor of 1881 and 1893?

Greatest common factor (GCF) of 1881 and 1893 is 3.

GCF(1881,1893) = 3

We will now calculate the prime factors of 1881 and 1893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1881 and 1893.

How to find the GCF of 1881 and 1893?

We will first find the prime factorization of 1881 and 1893. After we will calculate the factors of 1881 and 1893 and find the biggest common factor number .

Step-1: Prime Factorization of 1881

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

1881 = 3² × 11¹ × 19¹

Step-2: Prime Factorization of 1893

Prime factors of 1893 are 3, 631. Prime factorization of 1893 in exponential form is:

1893 = 3¹ × 631¹

Step-3: 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

Step-4: Factors of 1893

List of positive integer factors of 1893 that divides 1881 without a remainder.

1, 3, 631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1881 and 1893. The biggest common factor number is the GCF number.
So the greatest common factor 1881 and 1893 is 3.

Also check out the Least Common Multiple of 1881 and 1893