What is the Greatest Common Factor of 12180 and 12184?

Greatest common factor (GCF) of 12180 and 12184 is 4.

GCF(12180,12184) = 4

We will now calculate the prime factors of 12180 and 12184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12180 and 12184.

How to find the GCF of 12180 and 12184?

We will first find the prime factorization of 12180 and 12184. After we will calculate the factors of 12180 and 12184 and find the biggest common factor number .

Step-1: Prime Factorization of 12180

Prime factors of 12180 are 2, 3, 5, 7, 29. Prime factorization of 12180 in exponential form is:

12180 = 2² × 3¹ × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 12184

Prime factors of 12184 are 2, 1523. Prime factorization of 12184 in exponential form is:

12184 = 2³ × 1523¹

Step-3: Factors of 12180

List of positive integer factors of 12180 that divides 12180 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 29, 30, 35, 42, 58, 60, 70, 84, 87, 105, 116, 140, 145, 174, 203, 210, 290, 348, 406, 420, 435, 580, 609, 812, 870, 1015, 1218, 1740, 2030, 2436, 3045, 4060, 6090

Step-4: Factors of 12184

List of positive integer factors of 12184 that divides 12180 without a remainder.

1, 2, 4, 8, 1523, 3046, 6092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12180 and 12184. The biggest common factor number is the GCF number.
So the greatest common factor 12180 and 12184 is 4.

Also check out the Least Common Multiple of 12180 and 12184