What is the Greatest Common Factor of 24507 and 24517?

Greatest common factor (GCF) of 24507 and 24517 is 1.

GCF(24507,24517) = 1

We will now calculate the prime factors of 24507 and 24517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24507 and 24517.

How to find the GCF of 24507 and 24517?

We will first find the prime factorization of 24507 and 24517. After we will calculate the factors of 24507 and 24517 and find the biggest common factor number .

Step-1: Prime Factorization of 24507

Prime factors of 24507 are 3, 7, 389. Prime factorization of 24507 in exponential form is:

24507 = 3² × 7¹ × 389¹

Step-2: Prime Factorization of 24517

Prime factors of 24517 are 24517. Prime factorization of 24517 in exponential form is:

24517 = 24517¹

Step-3: Factors of 24507

List of positive integer factors of 24507 that divides 24507 without a remainder.

1, 3, 7, 9, 21, 63, 389, 1167, 2723, 3501, 8169

Step-4: Factors of 24517

List of positive integer factors of 24517 that divides 24507 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24507 and 24517. The biggest common factor number is the GCF number.
So the greatest common factor 24507 and 24517 is 1.

Also check out the Least Common Multiple of 24507 and 24517