What is the Greatest Common Factor of 24148 and 24165?

Greatest common factor (GCF) of 24148 and 24165 is 1.

GCF(24148,24165) = 1

We will now calculate the prime factors of 24148 and 24165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24148 and 24165.

How to find the GCF of 24148 and 24165?

We will first find the prime factorization of 24148 and 24165. After we will calculate the factors of 24148 and 24165 and find the biggest common factor number .

Step-1: Prime Factorization of 24148

Prime factors of 24148 are 2, 6037. Prime factorization of 24148 in exponential form is:

24148 = 2² × 6037¹

Step-2: Prime Factorization of 24165

Prime factors of 24165 are 3, 5, 179. Prime factorization of 24165 in exponential form is:

24165 = 3³ × 5¹ × 179¹

Step-3: Factors of 24148

List of positive integer factors of 24148 that divides 24148 without a remainder.

1, 2, 4, 6037, 12074

Step-4: Factors of 24165

List of positive integer factors of 24165 that divides 24148 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 179, 537, 895, 1611, 2685, 4833, 8055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24148 and 24165. The biggest common factor number is the GCF number.
So the greatest common factor 24148 and 24165 is 1.

Also check out the Least Common Multiple of 24148 and 24165