What is the Greatest Common Factor of 1893 and 1911?

Greatest common factor (GCF) of 1893 and 1911 is 3.

GCF(1893,1911) = 3

We will now calculate the prime factors of 1893 and 1911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1893 and 1911.

How to find the GCF of 1893 and 1911?

We will first find the prime factorization of 1893 and 1911. After we will calculate the factors of 1893 and 1911 and find the biggest common factor number .

Step-1: Prime Factorization of 1893

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

1893 = 3¹ × 631¹

Step-2: Prime Factorization of 1911

Prime factors of 1911 are 3, 7, 13. Prime factorization of 1911 in exponential form is:

1911 = 3¹ × 7² × 13¹

Step-3: Factors of 1893

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

1, 3, 631

Step-4: Factors of 1911

List of positive integer factors of 1911 that divides 1893 without a remainder.

1, 3, 7, 13, 21, 39, 49, 91, 147, 273, 637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1893 and 1911. The biggest common factor number is the GCF number.
So the greatest common factor 1893 and 1911 is 3.

Also check out the Least Common Multiple of 1893 and 1911