What is the Greatest Common Factor of 24436 and 24448?

Greatest common factor (GCF) of 24436 and 24448 is 4.

GCF(24436,24448) = 4

We will now calculate the prime factors of 24436 and 24448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24436 and 24448.

How to find the GCF of 24436 and 24448?

We will first find the prime factorization of 24436 and 24448. After we will calculate the factors of 24436 and 24448 and find the biggest common factor number .

Step-1: Prime Factorization of 24436

Prime factors of 24436 are 2, 41, 149. Prime factorization of 24436 in exponential form is:

24436 = 2² × 41¹ × 149¹

Step-2: Prime Factorization of 24448

Prime factors of 24448 are 2, 191. Prime factorization of 24448 in exponential form is:

24448 = 2⁷ × 191¹

Step-3: Factors of 24436

List of positive integer factors of 24436 that divides 24436 without a remainder.

1, 2, 4, 41, 82, 149, 164, 298, 596, 6109, 12218

Step-4: Factors of 24448

List of positive integer factors of 24448 that divides 24436 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 191, 382, 764, 1528, 3056, 6112, 12224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24436 and 24448. The biggest common factor number is the GCF number.
So the greatest common factor 24436 and 24448 is 4.

Also check out the Least Common Multiple of 24436 and 24448