What is the Greatest Common Factor of 24450 and 24462?

Greatest common factor (GCF) of 24450 and 24462 is 6.

GCF(24450,24462) = 6

We will now calculate the prime factors of 24450 and 24462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24450 and 24462.

How to find the GCF of 24450 and 24462?

We will first find the prime factorization of 24450 and 24462. After we will calculate the factors of 24450 and 24462 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 24462

Prime factors of 24462 are 2, 3, 151. Prime factorization of 24462 in exponential form is:

24462 = 2¹ × 3⁴ × 151¹

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 24462

List of positive integer factors of 24462 that divides 24450 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 151, 162, 302, 453, 906, 1359, 2718, 4077, 8154, 12231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24450 and 24462. The biggest common factor number is the GCF number.
So the greatest common factor 24450 and 24462 is 6.

Also check out the Least Common Multiple of 24450 and 24462