What is the Greatest Common Factor of 24440 and 24448?

Greatest common factor (GCF) of 24440 and 24448 is 8.

GCF(24440,24448) = 8

We will now calculate the prime factors of 24440 and 24448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24440 and 24448.

How to find the GCF of 24440 and 24448?

We will first find the prime factorization of 24440 and 24448. After we will calculate the factors of 24440 and 24448 and find the biggest common factor number .

Step-1: Prime Factorization of 24440

Prime factors of 24440 are 2, 5, 13, 47. Prime factorization of 24440 in exponential form is:

24440 = 2³ × 5¹ × 13¹ × 47¹

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 24440

List of positive integer factors of 24440 that divides 24440 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 47, 52, 65, 94, 104, 130, 188, 235, 260, 376, 470, 520, 611, 940, 1222, 1880, 2444, 3055, 4888, 6110, 12220

Step-4: Factors of 24448

List of positive integer factors of 24448 that divides 24440 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 24440 and 24448. The biggest common factor number is the GCF number.
So the greatest common factor 24440 and 24448 is 8.

Also check out the Least Common Multiple of 24440 and 24448