What is the Greatest Common Factor of 24562 and 24582?

Greatest common factor (GCF) of 24562 and 24582 is 2.

GCF(24562,24582) = 2

We will now calculate the prime factors of 24562 and 24582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24562 and 24582.

How to find the GCF of 24562 and 24582?

We will first find the prime factorization of 24562 and 24582. After we will calculate the factors of 24562 and 24582 and find the biggest common factor number .

Step-1: Prime Factorization of 24562

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

24562 = 2¹ × 12281¹

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 24562

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

1, 2, 12281

Step-4: Factors of 24582

List of positive integer factors of 24582 that divides 24562 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 24562 and 24582. The biggest common factor number is the GCF number.
So the greatest common factor 24562 and 24582 is 2.

Also check out the Least Common Multiple of 24562 and 24582