What is the Greatest Common Factor of 24575 and 24585?

Greatest common factor (GCF) of 24575 and 24585 is 5.

GCF(24575,24585) = 5

We will now calculate the prime factors of 24575 and 24585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24575 and 24585.

How to find the GCF of 24575 and 24585?

We will first find the prime factorization of 24575 and 24585. After we will calculate the factors of 24575 and 24585 and find the biggest common factor number .

Step-1: Prime Factorization of 24575

Prime factors of 24575 are 5, 983. Prime factorization of 24575 in exponential form is:

24575 = 5² × 983¹

Step-2: 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-3: Factors of 24575

List of positive integer factors of 24575 that divides 24575 without a remainder.

1, 5, 25, 983, 4915

Step-4: Factors of 24585

List of positive integer factors of 24585 that divides 24575 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24575 and 24585. The biggest common factor number is the GCF number.
So the greatest common factor 24575 and 24585 is 5.

Also check out the Least Common Multiple of 24575 and 24585