What is the Greatest Common Factor of 24548 and 24566?

Greatest common factor (GCF) of 24548 and 24566 is 2.

GCF(24548,24566) = 2

We will now calculate the prime factors of 24548 and 24566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24548 and 24566.

How to find the GCF of 24548 and 24566?

We will first find the prime factorization of 24548 and 24566. After we will calculate the factors of 24548 and 24566 and find the biggest common factor number .

Step-1: Prime Factorization of 24548

Prime factors of 24548 are 2, 17, 19. Prime factorization of 24548 in exponential form is:

24548 = 2² × 17¹ × 19²

Step-2: Prime Factorization of 24566

Prime factors of 24566 are 2, 71, 173. Prime factorization of 24566 in exponential form is:

24566 = 2¹ × 71¹ × 173¹

Step-3: Factors of 24548

List of positive integer factors of 24548 that divides 24548 without a remainder.

1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 361, 646, 722, 1292, 1444, 6137, 12274

Step-4: Factors of 24566

List of positive integer factors of 24566 that divides 24548 without a remainder.

1, 2, 71, 142, 173, 346, 12283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24548 and 24566. The biggest common factor number is the GCF number.
So the greatest common factor 24548 and 24566 is 2.

Also check out the Least Common Multiple of 24548 and 24566