What is the Greatest Common Factor of 24585 and 24591?

Greatest common factor (GCF) of 24585 and 24591 is 3.

GCF(24585,24591) = 3

We will now calculate the prime factors of 24585 and 24591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24585 and 24591.

How to find the GCF of 24585 and 24591?

We will first find the prime factorization of 24585 and 24591. After we will calculate the factors of 24585 and 24591 and find the biggest common factor number .

Step-1: Prime Factorization of 24585

Prime factors of 24585 are 3, 5, 11, 149. Prime factorization of 24585 in exponential form is:

24585 = 3¹ × 5¹ × 11¹ × 149¹

Step-2: Prime Factorization of 24591

Prime factors of 24591 are 3, 7, 1171. Prime factorization of 24591 in exponential form is:

24591 = 3¹ × 7¹ × 1171¹

Step-3: Factors of 24585

List of positive integer factors of 24585 that divides 24585 without a remainder.

1, 3, 5, 11, 15, 33, 55, 149, 165, 447, 745, 1639, 2235, 4917, 8195

Step-4: Factors of 24591

List of positive integer factors of 24591 that divides 24585 without a remainder.

1, 3, 7, 21, 1171, 3513, 8197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24585 and 24591. The biggest common factor number is the GCF number.
So the greatest common factor 24585 and 24591 is 3.

Also check out the Least Common Multiple of 24585 and 24591