What is the Greatest Common Factor of 24573 and 24588?

Greatest common factor (GCF) of 24573 and 24588 is 3.

GCF(24573,24588) = 3

We will now calculate the prime factors of 24573 and 24588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24573 and 24588.

How to find the GCF of 24573 and 24588?

We will first find the prime factorization of 24573 and 24588. After we will calculate the factors of 24573 and 24588 and find the biggest common factor number .

Step-1: Prime Factorization of 24573

Prime factors of 24573 are 3, 8191. Prime factorization of 24573 in exponential form is:

24573 = 3¹ × 8191¹

Step-2: Prime Factorization of 24588

Prime factors of 24588 are 2, 3, 683. Prime factorization of 24588 in exponential form is:

24588 = 2² × 3² × 683¹

Step-3: Factors of 24573

List of positive integer factors of 24573 that divides 24573 without a remainder.

1, 3, 8191

Step-4: Factors of 24588

List of positive integer factors of 24588 that divides 24573 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 683, 1366, 2049, 2732, 4098, 6147, 8196, 12294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24573 and 24588. The biggest common factor number is the GCF number.
So the greatest common factor 24573 and 24588 is 3.

Also check out the Least Common Multiple of 24573 and 24588