What is the Greatest Common Factor of 25509 and 25524?

Greatest common factor (GCF) of 25509 and 25524 is 3.

GCF(25509,25524) = 3

We will now calculate the prime factors of 25509 and 25524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25509 and 25524.

How to find the GCF of 25509 and 25524?

We will first find the prime factorization of 25509 and 25524. After we will calculate the factors of 25509 and 25524 and find the biggest common factor number .

Step-1: Prime Factorization of 25509

Prime factors of 25509 are 3, 11, 773. Prime factorization of 25509 in exponential form is:

25509 = 3¹ × 11¹ × 773¹

Step-2: Prime Factorization of 25524

Prime factors of 25524 are 2, 3, 709. Prime factorization of 25524 in exponential form is:

25524 = 2² × 3² × 709¹

Step-3: Factors of 25509

List of positive integer factors of 25509 that divides 25509 without a remainder.

1, 3, 11, 33, 773, 2319, 8503

Step-4: Factors of 25524

List of positive integer factors of 25524 that divides 25509 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 709, 1418, 2127, 2836, 4254, 6381, 8508, 12762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25509 and 25524. The biggest common factor number is the GCF number.
So the greatest common factor 25509 and 25524 is 3.

Also check out the Least Common Multiple of 25509 and 25524