What is the Greatest Common Factor of 12576 and 12585?

Greatest common factor (GCF) of 12576 and 12585 is 3.

GCF(12576,12585) = 3

We will now calculate the prime factors of 12576 and 12585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12576 and 12585.

How to find the GCF of 12576 and 12585?

We will first find the prime factorization of 12576 and 12585. After we will calculate the factors of 12576 and 12585 and find the biggest common factor number .

Step-1: Prime Factorization of 12576

Prime factors of 12576 are 2, 3, 131. Prime factorization of 12576 in exponential form is:

12576 = 2⁵ × 3¹ × 131¹

Step-2: Prime Factorization of 12585

Prime factors of 12585 are 3, 5, 839. Prime factorization of 12585 in exponential form is:

12585 = 3¹ × 5¹ × 839¹

Step-3: Factors of 12576

List of positive integer factors of 12576 that divides 12576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 4192, 6288

Step-4: Factors of 12585

List of positive integer factors of 12585 that divides 12576 without a remainder.

1, 3, 5, 15, 839, 2517, 4195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12576 and 12585. The biggest common factor number is the GCF number.
So the greatest common factor 12576 and 12585 is 3.

Also check out the Least Common Multiple of 12576 and 12585