What is the Greatest Common Factor of 2184 and 2196?

Greatest common factor (GCF) of 2184 and 2196 is 12.

GCF(2184,2196) = 12

We will now calculate the prime factors of 2184 and 2196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2184 and 2196.

How to find the GCF of 2184 and 2196?

We will first find the prime factorization of 2184 and 2196. After we will calculate the factors of 2184 and 2196 and find the biggest common factor number .

Step-1: Prime Factorization of 2184

Prime factors of 2184 are 2, 3, 7, 13. Prime factorization of 2184 in exponential form is:

2184 = 2³ × 3¹ × 7¹ × 13¹

Step-2: Prime Factorization of 2196

Prime factors of 2196 are 2, 3, 61. Prime factorization of 2196 in exponential form is:

2196 = 2² × 3² × 61¹

Step-3: Factors of 2184

List of positive integer factors of 2184 that divides 2184 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 273, 312, 364, 546, 728, 1092

Step-4: Factors of 2196

List of positive integer factors of 2196 that divides 2184 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 61, 122, 183, 244, 366, 549, 732, 1098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2184 and 2196. The biggest common factor number is the GCF number.
So the greatest common factor 2184 and 2196 is 12.

Also check out the Least Common Multiple of 2184 and 2196