What is the Greatest Common Factor of 24565 and 24582?

Greatest common factor (GCF) of 24565 and 24582 is 17.

GCF(24565,24582) = 17

We will now calculate the prime factors of 24565 and 24582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24565 and 24582.

How to find the GCF of 24565 and 24582?

We will first find the prime factorization of 24565 and 24582. After we will calculate the factors of 24565 and 24582 and find the biggest common factor number .

Step-1: Prime Factorization of 24565

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

24565 = 5¹ × 17³

Step-2: Prime Factorization of 24582

Prime factors of 24582 are 2, 3, 17, 241. Prime factorization of 24582 in exponential form is:

24582 = 2¹ × 3¹ × 17¹ × 241¹

Step-3: Factors of 24565

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

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

Step-4: Factors of 24582

List of positive integer factors of 24582 that divides 24565 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 241, 482, 723, 1446, 4097, 8194, 12291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24565 and 24582. The biggest common factor number is the GCF number.
So the greatest common factor 24565 and 24582 is 17.

Also check out the Least Common Multiple of 24565 and 24582