What is the Greatest Common Factor of 1872 and 1884?

Greatest common factor (GCF) of 1872 and 1884 is 12.

GCF(1872,1884) = 12

We will now calculate the prime factors of 1872 and 1884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1872 and 1884.

How to find the GCF of 1872 and 1884?

We will first find the prime factorization of 1872 and 1884. After we will calculate the factors of 1872 and 1884 and find the biggest common factor number .

Step-1: Prime Factorization of 1872

Prime factors of 1872 are 2, 3, 13. Prime factorization of 1872 in exponential form is:

1872 = 2⁴ × 3² × 13¹

Step-2: 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-3: Factors of 1872

List of positive integer factors of 1872 that divides 1872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936

Step-4: Factors of 1884

List of positive integer factors of 1884 that divides 1872 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1872 and 1884. The biggest common factor number is the GCF number.
So the greatest common factor 1872 and 1884 is 12.

Also check out the Least Common Multiple of 1872 and 1884