What is the Greatest Common Factor of 24415 and 24434?

Greatest common factor (GCF) of 24415 and 24434 is 19.

GCF(24415,24434) = 19

We will now calculate the prime factors of 24415 and 24434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24415 and 24434.

How to find the GCF of 24415 and 24434?

We will first find the prime factorization of 24415 and 24434. After we will calculate the factors of 24415 and 24434 and find the biggest common factor number .

Step-1: Prime Factorization of 24415

Prime factors of 24415 are 5, 19, 257. Prime factorization of 24415 in exponential form is:

24415 = 5¹ × 19¹ × 257¹

Step-2: 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-3: Factors of 24415

List of positive integer factors of 24415 that divides 24415 without a remainder.

1, 5, 19, 95, 257, 1285, 4883

Step-4: Factors of 24434

List of positive integer factors of 24434 that divides 24415 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24415 and 24434. The biggest common factor number is the GCF number.
So the greatest common factor 24415 and 24434 is 19.

Also check out the Least Common Multiple of 24415 and 24434