What is the Greatest Common Factor of 24153 and 24165?

Greatest common factor (GCF) of 24153 and 24165 is 3.

GCF(24153,24165) = 3

We will now calculate the prime factors of 24153 and 24165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24153 and 24165.

How to find the GCF of 24153 and 24165?

We will first find the prime factorization of 24153 and 24165. After we will calculate the factors of 24153 and 24165 and find the biggest common factor number .

Step-1: Prime Factorization of 24153

Prime factors of 24153 are 3, 83, 97. Prime factorization of 24153 in exponential form is:

24153 = 3¹ × 83¹ × 97¹

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 24153

List of positive integer factors of 24153 that divides 24153 without a remainder.

1, 3, 83, 97, 249, 291, 8051

Step-4: Factors of 24165

List of positive integer factors of 24165 that divides 24153 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 24153 and 24165. The biggest common factor number is the GCF number.
So the greatest common factor 24153 and 24165 is 3.

Also check out the Least Common Multiple of 24153 and 24165