What is the Greatest Common Factor of 12148 and 12167?

Greatest common factor (GCF) of 12148 and 12167 is 1.

GCF(12148,12167) = 1

We will now calculate the prime factors of 12148 and 12167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12148 and 12167.

How to find the GCF of 12148 and 12167?

We will first find the prime factorization of 12148 and 12167. After we will calculate the factors of 12148 and 12167 and find the biggest common factor number .

Step-1: Prime Factorization of 12148

Prime factors of 12148 are 2, 3037. Prime factorization of 12148 in exponential form is:

12148 = 2² × 3037¹

Step-2: Prime Factorization of 12167

Prime factors of 12167 are 23. Prime factorization of 12167 in exponential form is:

12167 = 23³

Step-3: Factors of 12148

List of positive integer factors of 12148 that divides 12148 without a remainder.

1, 2, 4, 3037, 6074

Step-4: Factors of 12167

List of positive integer factors of 12167 that divides 12148 without a remainder.

1, 23, 529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12148 and 12167. The biggest common factor number is the GCF number.
So the greatest common factor 12148 and 12167 is 1.

Also check out the Least Common Multiple of 12148 and 12167