What is the Greatest Common Factor of 1884 and 1896?

Greatest common factor (GCF) of 1884 and 1896 is 12.

GCF(1884,1896) = 12

We will now calculate the prime factors of 1884 and 1896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1884 and 1896.

How to find the GCF of 1884 and 1896?

We will first find the prime factorization of 1884 and 1896. After we will calculate the factors of 1884 and 1896 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 1896

Prime factors of 1896 are 2, 3, 79. Prime factorization of 1896 in exponential form is:

1896 = 2³ × 3¹ × 79¹

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 1896

List of positive integer factors of 1896 that divides 1884 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1884 and 1896. The biggest common factor number is the GCF number.
So the greatest common factor 1884 and 1896 is 12.

Also check out the Least Common Multiple of 1884 and 1896