What is the Greatest Common Factor of 24150 and 24165?

Greatest common factor (GCF) of 24150 and 24165 is 15.

GCF(24150,24165) = 15

We will now calculate the prime factors of 24150 and 24165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24150 and 24165.

How to find the GCF of 24150 and 24165?

We will first find the prime factorization of 24150 and 24165. After we will calculate the factors of 24150 and 24165 and find the biggest common factor number .

Step-1: Prime Factorization of 24150

Prime factors of 24150 are 2, 3, 5, 7, 23. Prime factorization of 24150 in exponential form is:

24150 = 2¹ × 3¹ × 5² × 7¹ × 23¹

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 24150

List of positive integer factors of 24150 that divides 24150 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 25, 30, 35, 42, 46, 50, 69, 70, 75, 105, 115, 138, 150, 161, 175, 210, 230, 322, 345, 350, 483, 525, 575, 690, 805, 966, 1050, 1150, 1610, 1725, 2415, 3450, 4025, 4830, 8050, 12075

Step-4: Factors of 24165

List of positive integer factors of 24165 that divides 24150 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 24150 and 24165. The biggest common factor number is the GCF number.
So the greatest common factor 24150 and 24165 is 15.

Also check out the Least Common Multiple of 24150 and 24165