What is the Greatest Common Factor of 24577 and 24582?

Greatest common factor (GCF) of 24577 and 24582 is 1.

GCF(24577,24582) = 1

We will now calculate the prime factors of 24577 and 24582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24577 and 24582.

How to find the GCF of 24577 and 24582?

We will first find the prime factorization of 24577 and 24582. After we will calculate the factors of 24577 and 24582 and find the biggest common factor number .

Step-1: Prime Factorization of 24577

Prime factors of 24577 are 7, 3511. Prime factorization of 24577 in exponential form is:

24577 = 7¹ × 3511¹

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 24577

List of positive integer factors of 24577 that divides 24577 without a remainder.

1, 7, 3511

Step-4: Factors of 24582

List of positive integer factors of 24582 that divides 24577 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 24577 and 24582. The biggest common factor number is the GCF number.
So the greatest common factor 24577 and 24582 is 1.

Also check out the Least Common Multiple of 24577 and 24582