What is the Greatest Common Factor of 24548 and 24565?

Greatest common factor (GCF) of 24548 and 24565 is 17.

GCF(24548,24565) = 17

We will now calculate the prime factors of 24548 and 24565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24548 and 24565.

How to find the GCF of 24548 and 24565?

We will first find the prime factorization of 24548 and 24565. After we will calculate the factors of 24548 and 24565 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 24565

Prime factors of 24565 are 5, 17. Prime factorization of 24565 in exponential form is:

24565 = 5¹ × 17³

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 24565

List of positive integer factors of 24565 that divides 24548 without a remainder.

1, 5, 17, 85, 289, 1445, 4913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24548 and 24565. The biggest common factor number is the GCF number.
So the greatest common factor 24548 and 24565 is 17.

Also check out the Least Common Multiple of 24548 and 24565