What is the Greatest Common Factor of 24448 and 24460?

Greatest common factor (GCF) of 24448 and 24460 is 4.

GCF(24448,24460) = 4

We will now calculate the prime factors of 24448 and 24460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24448 and 24460.

How to find the GCF of 24448 and 24460?

We will first find the prime factorization of 24448 and 24460. After we will calculate the factors of 24448 and 24460 and find the biggest common factor number .

Step-1: Prime Factorization of 24448

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

24448 = 2⁷ × 191¹

Step-2: Prime Factorization of 24460

Prime factors of 24460 are 2, 5, 1223. Prime factorization of 24460 in exponential form is:

24460 = 2² × 5¹ × 1223¹

Step-3: Factors of 24448

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

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

Step-4: Factors of 24460

List of positive integer factors of 24460 that divides 24448 without a remainder.

1, 2, 4, 5, 10, 20, 1223, 2446, 4892, 6115, 12230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24448 and 24460. The biggest common factor number is the GCF number.
So the greatest common factor 24448 and 24460 is 4.

Also check out the Least Common Multiple of 24448 and 24460