What is the Greatest Common Factor of 24548 and 24562?

Greatest common factor (GCF) of 24548 and 24562 is 2.

GCF(24548,24562) = 2

We will now calculate the prime factors of 24548 and 24562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24548 and 24562.

How to find the GCF of 24548 and 24562?

We will first find the prime factorization of 24548 and 24562. After we will calculate the factors of 24548 and 24562 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 24562

Prime factors of 24562 are 2, 12281. Prime factorization of 24562 in exponential form is:

24562 = 2¹ × 12281¹

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 24562

List of positive integer factors of 24562 that divides 24548 without a remainder.

1, 2, 12281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24548 and 24562. The biggest common factor number is the GCF number.
So the greatest common factor 24548 and 24562 is 2.

Also check out the Least Common Multiple of 24548 and 24562