What is the Greatest Common Factor of 12544 and 12552?

Greatest common factor (GCF) of 12544 and 12552 is 8.

GCF(12544,12552) = 8

We will now calculate the prime factors of 12544 and 12552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12544 and 12552.

How to find the GCF of 12544 and 12552?

We will first find the prime factorization of 12544 and 12552. After we will calculate the factors of 12544 and 12552 and find the biggest common factor number .

Step-1: Prime Factorization of 12544

Prime factors of 12544 are 2, 7. Prime factorization of 12544 in exponential form is:

12544 = 2⁸ × 7²

Step-2: Prime Factorization of 12552

Prime factors of 12552 are 2, 3, 523. Prime factorization of 12552 in exponential form is:

12552 = 2³ × 3¹ × 523¹

Step-3: Factors of 12544

List of positive integer factors of 12544 that divides 12544 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 256, 392, 448, 784, 896, 1568, 1792, 3136, 6272

Step-4: Factors of 12552

List of positive integer factors of 12552 that divides 12544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 523, 1046, 1569, 2092, 3138, 4184, 6276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12544 and 12552. The biggest common factor number is the GCF number.
So the greatest common factor 12544 and 12552 is 8.

Also check out the Least Common Multiple of 12544 and 12552