What is the Greatest Common Factor of 24578 and 24582?

Greatest common factor (GCF) of 24578 and 24582 is 2.

GCF(24578,24582) = 2

We will now calculate the prime factors of 24578 and 24582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24578 and 24582.

How to find the GCF of 24578 and 24582?

We will first find the prime factorization of 24578 and 24582. After we will calculate the factors of 24578 and 24582 and find the biggest common factor number .

Step-1: Prime Factorization of 24578

Prime factors of 24578 are 2, 12289. Prime factorization of 24578 in exponential form is:

24578 = 2¹ × 12289¹

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 24578

List of positive integer factors of 24578 that divides 24578 without a remainder.

1, 2, 12289

Step-4: Factors of 24582

List of positive integer factors of 24582 that divides 24578 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 24578 and 24582. The biggest common factor number is the GCF number.
So the greatest common factor 24578 and 24582 is 2.

Also check out the Least Common Multiple of 24578 and 24582