What is the Greatest Common Factor of 12176 and 12184?

Greatest common factor (GCF) of 12176 and 12184 is 8.

GCF(12176,12184) = 8

We will now calculate the prime factors of 12176 and 12184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12176 and 12184.

How to find the GCF of 12176 and 12184?

We will first find the prime factorization of 12176 and 12184. After we will calculate the factors of 12176 and 12184 and find the biggest common factor number .

Step-1: Prime Factorization of 12176

Prime factors of 12176 are 2, 761. Prime factorization of 12176 in exponential form is:

12176 = 2⁴ × 761¹

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 12176

List of positive integer factors of 12176 that divides 12176 without a remainder.

1, 2, 4, 8, 16, 761, 1522, 3044, 6088

Step-4: Factors of 12184

List of positive integer factors of 12184 that divides 12176 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12176 and 12184. The biggest common factor number is the GCF number.
So the greatest common factor 12176 and 12184 is 8.

Also check out the Least Common Multiple of 12176 and 12184