What is the Greatest Common Factor of 12561 and 12573?

Greatest common factor (GCF) of 12561 and 12573 is 3.

GCF(12561,12573) = 3

We will now calculate the prime factors of 12561 and 12573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12561 and 12573.

How to find the GCF of 12561 and 12573?

We will first find the prime factorization of 12561 and 12573. After we will calculate the factors of 12561 and 12573 and find the biggest common factor number .

Step-1: Prime Factorization of 12561

Prime factors of 12561 are 3, 53, 79. Prime factorization of 12561 in exponential form is:

12561 = 3¹ × 53¹ × 79¹

Step-2: Prime Factorization of 12573

Prime factors of 12573 are 3, 11, 127. Prime factorization of 12573 in exponential form is:

12573 = 3² × 11¹ × 127¹

Step-3: Factors of 12561

List of positive integer factors of 12561 that divides 12561 without a remainder.

1, 3, 53, 79, 159, 237, 4187

Step-4: Factors of 12573

List of positive integer factors of 12573 that divides 12561 without a remainder.

1, 3, 9, 11, 33, 99, 127, 381, 1143, 1397, 4191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12561 and 12573. The biggest common factor number is the GCF number.
So the greatest common factor 12561 and 12573 is 3.

Also check out the Least Common Multiple of 12561 and 12573