What is the Greatest Common Factor of 1884 and 1899?

Greatest common factor (GCF) of 1884 and 1899 is 3.

GCF(1884,1899) = 3

We will now calculate the prime factors of 1884 and 1899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1884 and 1899.

How to find the GCF of 1884 and 1899?

We will first find the prime factorization of 1884 and 1899. After we will calculate the factors of 1884 and 1899 and find the biggest common factor number .

Step-1: Prime Factorization of 1884

Prime factors of 1884 are 2, 3, 157. Prime factorization of 1884 in exponential form is:

1884 = 2² × 3¹ × 157¹

Step-2: Prime Factorization of 1899

Prime factors of 1899 are 3, 211. Prime factorization of 1899 in exponential form is:

1899 = 3² × 211¹

Step-3: Factors of 1884

List of positive integer factors of 1884 that divides 1884 without a remainder.

1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942

Step-4: Factors of 1899

List of positive integer factors of 1899 that divides 1884 without a remainder.

1, 3, 9, 211, 633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1884 and 1899. The biggest common factor number is the GCF number.
So the greatest common factor 1884 and 1899 is 3.

Also check out the Least Common Multiple of 1884 and 1899