What is the Greatest Common Factor of 24450 and 24459?

Greatest common factor (GCF) of 24450 and 24459 is 3.

GCF(24450,24459) = 3

We will now calculate the prime factors of 24450 and 24459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24450 and 24459.

How to find the GCF of 24450 and 24459?

We will first find the prime factorization of 24450 and 24459. After we will calculate the factors of 24450 and 24459 and find the biggest common factor number .

Step-1: Prime Factorization of 24450

Prime factors of 24450 are 2, 3, 5, 163. Prime factorization of 24450 in exponential form is:

24450 = 2¹ × 3¹ × 5² × 163¹

Step-2: Prime Factorization of 24459

Prime factors of 24459 are 3, 31, 263. Prime factorization of 24459 in exponential form is:

24459 = 3¹ × 31¹ × 263¹

Step-3: Factors of 24450

List of positive integer factors of 24450 that divides 24450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 163, 326, 489, 815, 978, 1630, 2445, 4075, 4890, 8150, 12225

Step-4: Factors of 24459

List of positive integer factors of 24459 that divides 24450 without a remainder.

1, 3, 31, 93, 263, 789, 8153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24450 and 24459. The biggest common factor number is the GCF number.
So the greatest common factor 24450 and 24459 is 3.

Also check out the Least Common Multiple of 24450 and 24459