What is the Greatest Common Factor of 12567 and 12573?

Greatest common factor (GCF) of 12567 and 12573 is 3.

GCF(12567,12573) = 3

We will now calculate the prime factors of 12567 and 12573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12567 and 12573.

How to find the GCF of 12567 and 12573?

We will first find the prime factorization of 12567 and 12573. After we will calculate the factors of 12567 and 12573 and find the biggest common factor number .

Step-1: Prime Factorization of 12567

Prime factors of 12567 are 3, 59, 71. Prime factorization of 12567 in exponential form is:

12567 = 3¹ × 59¹ × 71¹

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 12567

List of positive integer factors of 12567 that divides 12567 without a remainder.

1, 3, 59, 71, 177, 213, 4189

Step-4: Factors of 12573

List of positive integer factors of 12573 that divides 12567 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 12567 and 12573. The biggest common factor number is the GCF number.
So the greatest common factor 12567 and 12573 is 3.

Also check out the Least Common Multiple of 12567 and 12573