What is the Greatest Common Factor of 24434 and 24450?

Greatest common factor (GCF) of 24434 and 24450 is 2.

GCF(24434,24450) = 2

We will now calculate the prime factors of 24434 and 24450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24434 and 24450.

How to find the GCF of 24434 and 24450?

We will first find the prime factorization of 24434 and 24450. After we will calculate the factors of 24434 and 24450 and find the biggest common factor number .

Step-1: Prime Factorization of 24434

Prime factors of 24434 are 2, 19, 643. Prime factorization of 24434 in exponential form is:

24434 = 2¹ × 19¹ × 643¹

Step-2: 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-3: Factors of 24434

List of positive integer factors of 24434 that divides 24434 without a remainder.

1, 2, 19, 38, 643, 1286, 12217

Step-4: Factors of 24450

List of positive integer factors of 24450 that divides 24434 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24434 and 24450. The biggest common factor number is the GCF number.
So the greatest common factor 24434 and 24450 is 2.

Also check out the Least Common Multiple of 24434 and 24450