What is the Greatest Common Factor of 12567 and 12576?

Greatest common factor (GCF) of 12567 and 12576 is 3.

GCF(12567,12576) = 3

We will now calculate the prime factors of 12567 and 12576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12567 and 12576.

How to find the GCF of 12567 and 12576?

We will first find the prime factorization of 12567 and 12576. After we will calculate the factors of 12567 and 12576 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 12576

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

12576 = 2⁵ × 3¹ × 131¹

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 12576

List of positive integer factors of 12576 that divides 12567 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12567 and 12576. The biggest common factor number is the GCF number.
So the greatest common factor 12567 and 12576 is 3.

Also check out the Least Common Multiple of 12567 and 12576