What is the Greatest Common Factor of 24161 and 24165?

Greatest common factor (GCF) of 24161 and 24165 is 1.

GCF(24161,24165) = 1

We will now calculate the prime factors of 24161 and 24165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24161 and 24165.

How to find the GCF of 24161 and 24165?

We will first find the prime factorization of 24161 and 24165. After we will calculate the factors of 24161 and 24165 and find the biggest common factor number .

Step-1: Prime Factorization of 24161

Prime factors of 24161 are 37, 653. Prime factorization of 24161 in exponential form is:

24161 = 37¹ × 653¹

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 24161

List of positive integer factors of 24161 that divides 24161 without a remainder.

1, 37, 653

Step-4: Factors of 24165

List of positive integer factors of 24165 that divides 24161 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 24161 and 24165. The biggest common factor number is the GCF number.
So the greatest common factor 24161 and 24165 is 1.

Also check out the Least Common Multiple of 24161 and 24165